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上连续，",[22,202,204,250],{"className":203},[25],[22,205,207],{"className":206},[29],[31,208,209],{"xmlns":33},[35,210,211,247],{},[38,212,213,216,219,222,224,226,228,237,239,245],{},[41,214,215],{},"y",[45,217,218],{},"=",[41,220,221],{},"φ",[45,223,48],{"stretchy":47},[41,225,51],{},[45,227,158],{"separator":64},[229,230,231,233],"msub",{},[41,232,51],{},[234,235,236],"mn",{},"0",[45,238,158],{"separator":64},[229,240,241,243],{},[41,242,215],{},[234,244,236],{},[45,246,54],{"stretchy":47},[56,248,249],{"encoding":58},"y = 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是方程 ",[22,404,406,458],{"className":405},[25],[22,407,409],{"className":408},[29],[31,410,411],{"xmlns":33},[35,412,413,455],{},[38,414,415,432,434,436,438,440,442,444,447,449,451,453],{},[416,417,418,426],"mfrac",{},[38,419,420,424],{},[41,421,423],{"mathvariant":422},"normal","d",[41,425,215],{},[38,427,428,430],{},[41,429,423],{"mathvariant":422},[41,431,51],{},[45,433,218],{},[41,435,43],{},[45,437,48],{"stretchy":47},[41,439,51],{},[45,441,54],{"stretchy":47},[41,443,215],{},[45,445,446],{},"+",[41,448,106],{},[45,450,48],{"stretchy":47},[41,452,51],{},[45,454,54],{"stretchy":47},[56,456,457],{"encoding":58},"\\frac{\\mathrm{d}y}{\\mathrm{d}x} = P(x)y + 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的解，",[22,613,615,663],{"className":614},[25],[22,616,618],{"className":617},[29],[31,619,620],{"xmlns":33},[35,621,622,660],{},[38,623,624,630,632,634,636,642,644,650,652,658],{},[229,625,626,628],{},[41,627,215],{},[234,629,236],{},[45,631,218],{},[41,633,221],{},[45,635,48],{"stretchy":47},[229,637,638,640],{},[41,639,51],{},[234,641,236],{},[45,643,158],{"separator":64},[229,645,646,648],{},[41,647,51],{},[234,649,236],{},[45,651,158],{"separator":64},[229,653,654,656],{},[41,655,215],{},[234,657,236],{},[45,659,54],{"stretchy":47},[56,661,662],{"encoding":58},"y_0 = 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分别是非齐次线性微分方程\n",[22,2393,2395,2519],{"className":2394},[25],[22,2396,2398],{"className":2397},[29],[31,2399,2400],{"xmlns":33},[35,2401,2402,2516],{},[38,2403,2404,2428,2430,2437,2439,2441,2443,2478,2480,2483,2485,2491,2493,2495,2497,2499,2501,2508,2510,2512,2514],{},[416,2405,2406,2418],{},[38,2407,2408,2416],{},[2409,2410,2411,2413],"msup",{},[41,2412,423],{"mathvariant":422},[41,2414,2415],{},"n",[41,2417,51],{},[38,2419,2420,2422],{},[41,2421,423],{"mathvariant":422},[2409,2423,2424,2426],{},[41,2425,2257],{},[41,2427,2415],{},[45,2429,446],{},[229,2431,2432,2435],{},[41,2433,2434],{},"a",[234,2436,2074],{},[45,2438,48],{"stretchy":47},[41,2440,2257],{},[45,2442,54],{"stretchy":47},[416,2444,2445,2462],{},[38,2446,2447,2460],{},[2409,2448,2449,2451],{},[41,2450,423],{"mathvariant":422},[38,2452,2453,2455,2458],{},[41,2454,2415],{},[45,2456,2457],{},"−",[234,2459,2074],{},[41,2461,51],{},[38,2463,2464,2466],{},[41,2465,423],{"mathvariant":422},[2409,2467,2468,2470],{},[41,2469,2257],{},[38,2471,2472,2474,2476],{},[41,2473,2415],{},[45,2475,2457],{},[234,2477,2074],{},[45,2479,446],{},[45,2481,2482],{},"⋯",[45,2484,446],{},[229,2486,2487,2489],{},[41,2488,2434],{},[41,2490,2415],{},[45,2492,48],{"stretchy":47},[41,2494,2257],{},[45,2496,54],{"stretchy":47},[41,2498,51],{},[45,2500,218],{},[229,2502,2503,2506],{},[41,2504,2505],{},"f",[234,2507,2074],{},[45,2509,48],{"stretchy":47},[41,2511,2257],{},[45,2513,54],{"stretchy":47},[45,2515,158],{"separator":64},[56,2517,2518],{"encoding":58},"\\frac{\\mathrm{d}^n x}{\\mathrm{d}t^n} + a_1(t)\\frac{\\mathrm{d}^{n-1}x}{\\mathrm{d}t^{n-1}} + \\cdots + a_n(t)x = f_1(t),",[22,2520,2522,2670,2882,2902,2970],{"className":2521,"ariaHidden":64},[63],[22,2523,2525,2529,2661,2664,2667],{"className":2524},[68],[22,2526],{"className":2527,"style":2528},[72],"height:1.256em;vertical-align:-0.345em;",[22,2530,2532,2535,2658],{"className":2531},[77],[22,2533],{"className":2534},[83,474],[22,2536,2538],{"className":2537},[416],[22,2539,2541,2650],{"className":2540},[309,310],[22,2542,2544,2647],{"className":2543},[314],[22,2545,2548,2593,2601],{"className":2546,"style":2547},[318],"height:0.911em;",[22,2549,2550,2553],{"style":490},[22,2551],{"className":2552,"style":494},[326],[22,2554,2556],{"className":2555},[331,332,333,334],[22,2557,2559,2562],{"className":2558},[77,334],[22,2560,423],{"className":2561},[77,504,334],[22,2563,2565,2568],{"className":2564},[77,334],[22,2566,2257],{"className":2567},[77,78,334],[22,2569,2571],{"className":2570},[305],[22,2572,2574],{"className":2573},[309],[22,2575,2577],{"className":2576},[314],[22,2578,2581],{"className":2579,"style":2580},[318],"height:0.5935em;",[22,2582,2584,2587],{"style":2583},"top:-2.786em;margin-right:0.0714em;",[22,2585],{"className":2586,"style":991},[326],[22,2588,2590],{"className":2589},[331,995,996,334],[22,2591,2415],{"className":2592},[77,78,334],[22,2594,2595,2598],{"style":510},[22,2596],{"className":2597,"style":494},[326],[22,2599],{"className":2600,"style":518},[517],[22,2602,2604,2607],{"style":2603},"top:-3.394em;",[22,2605],{"className":2606,"style":494},[326],[22,2608,2610],{"className":2609},[331,332,333,334],[22,2611,2613,2644],{"className":2612},[77,334],[22,2614,2616,2619],{"className":2615},[77,334],[22,2617,423],{"className":2618},[77,504,334],[22,2620,2622],{"className":2621},[305],[22,2623,2625],{"className":2624},[309],[22,2626,2628],{"className":2627},[314],[22,2629,2632],{"className":2630,"style":2631},[318],"height:0.7385em;",[22,2633,2635,2638],{"style":2634},"top:-2.931em;margin-right:0.0714em;",[22,2636],{"className":2637,"style":991},[326],[22,2639,2641],{"className":2640},[331,995,996,334],[22,2642,2415],{"className":2643},[77,78,334],[22,2645,51],{"className":2646},[77,78,334],[22,2648,342],{"className":2649},[341],[22,2651,2653],{"className":2652},[314],[22,2654,2656],{"className":2655,"style":546},[318],[22,2657],{},[22,2659],{"className":2660},[90,474],[22,2662],{"className":2663,"style":585},[191],[22,2665,446],{"className":2666},[589],[22,2668],{"className":2669,"style":585},[191],[22,2671,2673,2677,2717,2720,2723,2726,2873,2876,2879],{"className":2672},[68],[22,2674],{"className":2675,"style":2676},[72],"height:1.3629em;vertical-align:-0.345em;",[22,2678,2680,2683],{"className":2679},[77],[22,2681,2434],{"className":2682},[77,78],[22,2684,2686],{"className":2685},[305],[22,2687,2689,2709],{"className":2688},[309,310],[22,2690,2692,2706],{"className":2691},[314],[22,2693,2695],{"className":2694,"style":319},[318],[22,2696,2697,2700],{"style":322},[22,2698],{"className":2699,"style":327},[326],[22,2701,2703],{"className":2702},[331,332,333,334],[22,2704,2074],{"className":2705},[77,334],[22,2707,342],{"className":2708},[341],[22,2710,2712],{"className":2711},[314],[22,2713,2715],{"className":2714,"style":349},[318],[22,2716],{},[22,2718,48],{"className":2719},[83],[22,2721,2257],{"className":2722},[77,78],[22,2724,54],{"className":2725},[90],[22,2727,2729,2732,2870],{"className":2728},[77],[22,2730],{"className":2731},[83,474],[22,2733,2735],{"className":2734},[416],[22,2736,2738,2862],{"className":2737},[309,310],[22,2739,2741,2859],{"className":2740},[314],[22,2742,2745,2798,2806],{"className":2743,"style":2744},[318],"height:1.0179em;",[22,2746,2747,2750],{"style":490},[22,2748],{"className":2749,"style":494},[326],[22,2751,2753],{"className":2752},[331,332,333,334],[22,2754,2756,2759],{"className":2755},[77,334],[22,2757,423],{"className":2758},[77,504,334],[22,2760,2762,2765],{"className":2761},[77,334],[22,2763,2257],{"className":2764},[77,78,334],[22,2766,2768],{"className":2767},[305],[22,2769,2771],{"className":2770},[309],[22,2772,2774],{"className":2773},[314],[22,2775,2778],{"className":2776,"style":2777},[318],"height:0.7463em;",[22,2779,2780,2783],{"style":2583},[22,2781],{"className":2782,"style":991},[326],[22,2784,2786],{"className":2785},[331,995,996,334],[22,2787,2789,2792,2795],{"className":2788},[77,334],[22,2790,2415],{"className":2791},[77,78,334],[22,2793,2457],{"className":2794},[589,334],[22,2796,2074],{"className":2797},[77,334],[22,2799,2800,2803],{"style":510},[22,2801],{"className":2802,"style":494},[326],[22,2804],{"className":2805,"style":518},[517],[22,2807,2808,2811],{"style":2603},[22,2809],{"className":2810,"style":494},[326],[22,2812,2814],{"className":2813},[331,332,333,334],[22,2815,2817,2856],{"className":2816},[77,334],[22,2818,2820,2823],{"className":2819},[77,334],[22,2821,423],{"className":2822},[77,504,334],[22,2824,2826],{"className":2825},[305],[22,2827,2829],{"className":2828},[309],[22,2830,2832],{"className":2831},[314],[22,2833,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x}{\\mathrm{d}t^n} + a_1(t)\\frac{\\mathrm{d}^{n-1}x}{\\mathrm{d}t^{n-1}} + \\cdots + a_n(t)x = f_2(t)",[22,3150,3152,3293,3501,3519,3586],{"className":3151,"ariaHidden":64},[63],[22,3153,3155,3158,3284,3287,3290],{"className":3154},[68],[22,3156],{"className":3157,"style":2528},[72],[22,3159,3161,3164,3281],{"className":3160},[77],[22,3162],{"className":3163},[83,474],[22,3165,3167],{"className":3166},[416],[22,3168,3170,3273],{"className":3169},[309,310],[22,3171,3173,3270],{"className":3172},[314],[22,3174,3176,3219,3227],{"className":3175,"style":2547},[318],[22,3177,3178,3181],{"style":490},[22,3179],{"className":3180,"style":494},[326],[22,3182,3184],{"className":3183},[331,332,333,334],[22,3185,3187,3190],{"className":3186},[77,334],[22,3188,423],{"className":3189},[77,504,334],[22,3191,3193,3196],{"className":3192},[77,334],[22,3194,2257],{"className":3195},[77,78,334],[22,3197,3199],{"className":3198},[305],[22,3200,3202],{"className":3201},[309],[22,3203,3205],{"className":3204},[314],[22,3206,3208],{"className":3207,"style":2580},[318],[22,3209,3210,3213],{"style":2583},[22,3211],{"className":3212,"style":991},[326],[22,3214,3216],{"className":3215},[331,995,996,334],[22,3217,2415],{"className":3218},[77,78,334],[22,3220,3221,3224],{"style":510},[22,3222],{"className":3223,"style":494},[326],[22,3225],{"className":3226,"style":518},[517],[22,3228,3229,3232],{"style":2603},[22,3230],{"className":3231,"style":494},[326],[22,3233,3235],{"className":3234},[331,332,333,334],[22,3236,3238,3267],{"className":3237},[77,334],[22,3239,3241,3244],{"className":3240},[77,334],[22,3242,423],{"className":3243},[77,504,334],[22,3245,3247],{"className":3246},[305],[22,3248,3250],{"className":3249},[309],[22,3251,3253],{"className":3252},[314],[22,3254,3256],{"className":3255,"style":2631},[318],[22,3257,3258,3261],{"style":2634},[22,3259],{"className":3260,"style":991},[326],[22,3262,3264],{"className":3263},[331,995,996,334],[22,3265,2415],{"className":3266},[77,78,334],[22,3268,51],{"className":3269},[77,78,334],[22,3271,342],{"className":3272},[341],[22,3274,3276],{"className":3275},[314],[22,3277,3279],{"className":3278,"style":546},[318],[22,3280],{},[22,3282],{"className":3283},[90,474],[22,3285],{"className":3286,"style":585},[191],[22,3288,446],{"className":3289},[589],[22,3291],{"className":3292,"style":585},[191],[22,3294,3296,3299,3339,3342,3345,3348,3492,3495,3498],{"className":3295},[68],[22,3297],{"className":3298,"style":2676},[72],[22,3300,3302,3305],{"className":3301},[77],[22,3303,2434],{"className":3304},[77,78],[22,3306,3308],{"className":3307},[305],[22,3309,3311,3331],{"className":3310},[309,310],[22,3312,3314,3328],{"className":3313},[314],[22,3315,3317],{"className":3316,"style":319},[318],[22,3318,3319,3322],{"style":322},[22,3320],{"className":3321,"style":327},[326],[22,3323,3325],{"className":3324},[331,332,333,334],[22,3326,2074],{"className":3327},[77,334],[22,3329,342],{"className":3330},[341],[22,3332,3334],{"className":3333},[314],[22,3335,3337],{"className":3336,"style":349},[318],[22,3338],{},[22,3340,48],{"className":3341},[83],[22,3343,2257],{"className":3344},[77,78],[22,3346,54],{"className":3347},[90],[22,3349,3351,3354,3489],{"className":3350},[77],[22,3352],{"className":3353},[83,474],[22,3355,3357],{"className":3356},[416],[22,3358,3360,3481],{"className":3359},[309,310],[22,3361,3363,3478],{"className":3362},[314],[22,3364,3366,3418,3426],{"className":3365,"style":2744},[318],[22,3367,3368,3371],{"style":490},[22,3369],{"className":3370,"style":494},[326],[22,3372,3374],{"className":3373},[331,332,333,334],[22,3375,3377,3380],{"className":3376},[77,334],[22,3378,423],{"className":3379},[77,504,334],[22,3381,3383,3386],{"className":3382},[77,334],[22,3384,2257],{"className":3385},[77,78,334],[22,3387,3389],{"className":3388},[305],[22,3390,3392],{"className":3391},[309],[22,3393,3395],{"className":3394},[314],[22,3396,3398],{"className":3397,"style":2777},[318],[22,3399,3400,3403],{"style":2583},[22,3401],{"className":3402,"style":991},[326],[22,3404,3406],{"className":3405},[331,995,996,334],[22,3407,3409,3412,3415],{"className":3408},[77,334],[22,3410,2415],{"className":3411},[77,78,334],[22,3413,2457],{"className":3414},[589,334],[22,3416,2074],{"className":3417},[77,334],[22,3419,3420,3423],{"style":510},[22,3421],{"className":3422,"style":494},[326],[22,3424],{"className":3425,"style":518},[517],[22,3427,3428,3431],{"style":2603},[22,3429],{"className":3430,"style":494},[326],[22,3432,3434],{"className":3433},[331,332,333,334],[22,3435,3437,3475],{"className":3436},[77,334],[22,3438,3440,3443],{"className":3439},[77,334],[22,3441,423],{"className":3442},[77,504,334],[22,3444,3446],{"className":3445},[305],[22,3447,3449],{"className":3448},[309],[22,3450,3452],{"className":3451},[314],[22,3453,3455],{"className":3454,"style":2835},[318],[22,3456,3457,3460],{"style":2634},[22,3458],{"className":3459,"style":991},[326],[22,3461,3463],{"className":3462},[331,995,996,334],[22,3464,3466,3469,3472],{"className":3465},[77,334],[22,3467,2415],{"className":3468},[77,78,334],[22,3470,2457],{"className":3471},[589,334],[22,3473,2074],{"className":3474},[77,334],[22,3476,51],{"className":3477},[77,78,334],[22,3479,342],{"className":3480},[341],[22,3482,3484],{"className":3483},[314],[22,3485,3487],{"className":3486,"style":546},[318],[22,3488],{},[22,3490],{"className":3491},[90,474],[22,3493],{"className":3494,"style":585},[191],[22,3496,446],{"className":3497},[589],[22,3499],{"className":3500,"style":585},[191],[22,3502,3504,3507,3510,3513,3516],{"className":3503},[68],[22,3505],{"className":3506,"style":2888},[72],[22,3508,2482],{"className":3509},[2892],[22,3511],{"className":3512,"style":585},[191],[22,3514,446],{"className":3515},[589],[22,3517],{"className":3518,"style":585},[191],[22,3520,3522,3525,3565,3568,3571,3574,3577,3580,3583],{"className":3521},[68],[22,3523],{"className":3524,"style":73},[72],[22,3526,3528,3531],{"className":3527},[77],[22,3529,2434],{"className":3530},[77,78],[22,3532,3534],{"className":3533},[305],[22,3535,3537,3557],{"className":3536},[309,310],[22,3538,3540,3554],{"className":3539},[314],[22,3541,3543],{"className":3542,"style":2926},[318],[22,3544,3545,3548],{"style":322},[22,3546],{"className":3547,"style":327},[326],[22,3549,3551],{"className":3550},[331,332,333,334],[22,3552,2415],{"className":3553},[77,78,334],[22,3555,342],{"className":3556},[341],[22,3558,3560],{"className":3559},[314],[22,3561,3563],{"className":3562,"style":349},[318],[22,3564],{},[22,3566,48],{"className":3567},[83],[22,3569,2257],{"className":3570},[77,78],[22,3572,54],{"className":3573},[90],[22,3575,51],{"className":3576},[77,78],[22,3578],{"className":3579,"style":267},[191],[22,3581,218],{"className":3582},[271],[22,3584],{"className":3585,"style":267},[191],[22,3587,3589,3592,3632,3635,3638],{"className":3588},[68],[22,3590],{"className":3591,"style":73},[72],[22,3593,3595,3598],{"className":3594},[77],[22,3596,2505],{"className":3597,"style":2982},[77,78],[22,3599,3601],{"className":3600},[305],[22,3602,3604,3624],{"className":3603},[309,310],[22,3605,3607,3621],{"className":3606},[314],[22,3608,3610],{"className":3609,"style":319},[318],[22,3611,3612,3615],{"style":2997},[22,3613],{"className":3614,"style":327},[326],[22,3616,3618],{"className":3617},[331,332,333,334],[22,3619,2268],{"className":3620},[77,334],[22,3622,342],{"className":3623},[341],[22,3625,3627],{"className":3626},[314],[22,3628,3630],{"className":3629,"style":349},[318],[22,3631],{},[22,3633,48],{"className":3634},[83],[22,3636,2257],{"className":3637},[77,78],[22,3639,54],{"className":3640},[90],"\n的解，则 ",[22,3643,3645,3683],{"className":3644},[25],[22,3646,3648],{"className":3647},[29],[31,3649,3650],{"xmlns":33},[35,3651,3652,3680],{},[38,3653,3654,3660,3662,3664,3666,3668,3674,3676,3678],{},[229,3655,3656,3658],{},[41,3657,51],{},[234,3659,2074],{},[45,3661,48],{"stretchy":47},[41,3663,2257],{},[45,3665,54],{"stretchy":47},[45,3667,446],{},[229,3669,3670,3672],{},[41,3671,51],{},[234,3673,2268],{},[45,3675,48],{"stretchy":47},[41,3677,2257],{},[45,3679,54],{"stretchy":47},[56,3681,3682],{"encoding":58},"x_1(t) + x_2(t)",[22,3684,3686,3750],{"className":3685,"ariaHidden":64},[63],[22,3687,3689,3692,3732,3735,3738,3741,3744,3747],{"className":3688},[68],[22,3690],{"className":3691,"style":73},[72],[22,3693,3695,3698],{"className":3694},[77],[22,3696,51],{"className":3697},[77,78],[22,3699,3701],{"className":3700},[305],[22,3702,3704,3724],{"className":3703},[309,310],[22,3705,3707,3721],{"className":3706},[314],[22,3708,3710],{"className":3709,"style":319},[318],[22,3711,3712,3715],{"style":322},[22,3713],{"className":3714,"style":327},[326],[22,3716,3718],{"className":3717},[331,332,333,334],[22,3719,2074],{"className":3720},[77,334],[22,3722,342],{"className":3723},[341],[22,3725,3727],{"className":3726},[314],[22,3728,3730],{"className":3729,"style":349},[318],[22,3731],{},[22,3733,48],{"className":3734},[83],[22,3736,2257],{"className":3737},[77,78],[22,3739,54],{"className":3740},[90],[22,3742],{"className":3743,"style":585},[191],[22,3745,446],{"className":3746},[589],[22,3748],{"className":3749,"style":585},[191],[22,3751,3753,3756,3796,3799,3802],{"className":3752},[68],[22,3754],{"className":3755,"style":73},[72],[22,3757,3759,3762],{"className":3758},[77],[22,3760,51],{"className":3761},[77,78],[22,3763,3765],{"className":3764},[305],[22,3766,3768,3788],{"className":3767},[309,310],[22,3769,3771,3785],{"className":3770},[314],[22,3772,3774],{"className":3773,"style":319},[318],[22,3775,3776,3779],{"style":322},[22,3777],{"className":3778,"style":327},[326],[22,3780,3782],{"className":3781},[331,332,333,334],[22,3783,2268],{"className":3784},[77,334],[22,3786,342],{"className":3787},[341],[22,3789,3791],{"className":3790},[314],[22,3792,3794],{"className":3793,"style":349},[318],[22,3795],{},[22,3797,48],{"className":3798},[83],[22,3800,2257],{"className":3801},[77,78],[22,3803,54],{"className":3804},[90]," 是方程\n",[22,3807,3809,3939],{"className":3808},[25],[22,3810,3812],{"className":3811},[29],[31,3813,3814],{"xmlns":33},[35,3815,3816,3936],{},[38,3817,3818,3840,3842,3848,3850,3852,3854,3888,3890,3892,3894,3900,3902,3904,3906,3908,3910,3916,3918,3920,3922,3924,3930,3932,3934],{},[416,3819,3820,3830],{},[38,3821,3822,3828],{},[2409,3823,3824,3826],{},[41,3825,423],{"mathvariant":422},[41,3827,2415],{},[41,3829,51],{},[38,3831,3832,3834],{},[41,3833,423],{"mathvariant":422},[2409,3835,3836,3838],{},[41,3837,2257],{},[41,3839,2415],{},[45,3841,446],{},[229,3843,3844,3846],{},[41,3845,2434],{},[234,3847,2074],{},[45,3849,48],{"stretchy":47},[41,3851,2257],{},[45,3853,54],{"stretchy":47},[416,3855,3856,3872],{},[38,3857,3858,3870],{},[2409,3859,3860,3862],{},[41,3861,423],{"mathvariant":422},[38,3863,3864,3866,3868],{},[41,3865,2415],{},[45,3867,2457],{},[234,3869,2074],{},[41,3871,51],{},[38,3873,3874,3876],{},[41,3875,423],{"mathvariant":422},[2409,3877,3878,3880],{},[41,3879,2257],{},[38,3881,3882,3884,3886],{},[41,3883,2415],{},[45,3885,2457],{},[234,3887,2074],{},[45,3889,446],{},[45,3891,2482],{},[45,3893,446],{},[229,3895,3896,3898],{},[41,3897,2434],{},[41,3899,2415],{},[45,3901,48],{"stretchy":47},[41,3903,2257],{},[45,3905,54],{"stretchy":47},[41,3907,51],{},[45,3909,218],{},[229,3911,3912,3914],{},[41,3913,2505],{},[234,3915,2074],{},[45,3917,48],{"stretchy":47},[41,3919,2257],{},[45,3921,54],{"stretchy":47},[45,3923,446],{},[229,3925,3926,3928],{},[41,3927,2505],{},[234,3929,2268],{},[45,3931,48],{"stretchy":47},[41,3933,2257],{},[45,3935,54],{"stretchy":47},[56,3937,3938],{"encoding":58},"\\frac{\\mathrm{d}^n x}{\\mathrm{d}t^n} + a_1(t)\\frac{\\mathrm{d}^{n-1}x}{\\mathrm{d}t^{n-1}} + \\cdots + a_n(t)x = f_1(t) + f_2(t)",[22,3940,3942,4083,4291,4309,4376,4440],{"className":3941,"ariaHidden":64},[63],[22,3943,3945,3948,4074,4077,4080],{"className":3944},[68],[22,3946],{"className":3947,"style":2528},[72],[22,3949,3951,3954,4071],{"className":3950},[77],[22,3952],{"className":3953},[83,474],[22,3955,3957],{"className":3956},[416],[22,3958,3960,4063],{"className":3959},[309,310],[22,3961,3963,4060],{"className":3962},[314],[22,3964,3966,4009,4017],{"className":3965,"style":2547},[318],[22,3967,3968,3971],{"style":490},[22,3969],{"className":3970,"style":494},[326],[22,3972,3974],{"className":3973},[331,332,333,334],[22,3975,3977,3980],{"className":3976},[77,334],[22,3978,423],{"className":3979},[77,504,334],[22,3981,3983,3986],{"className":3982},[77,334],[22,3984,2257],{"className":3985},[77,78,334],[22,3987,3989],{"className":3988},[305],[22,3990,3992],{"className":3991},[309],[22,3993,3995],{"className":3994},[314],[22,3996,3998],{"className":3997,"style":2580},[318],[22,3999,4000,4003],{"style":2583},[22,4001],{"className":4002,"style":991},[326],[22,4004,4006],{"className":4005},[331,995,996,334],[22,4007,2415],{"className":4008},[77,78,334],[22,4010,4011,4014],{"style":510},[22,4012],{"className":4013,"style":494},[326],[22,4015],{"className":4016,"style":518},[517],[22,4018,4019,4022],{"style":2603},[22,4020],{"className":4021,"style":494},[326],[22,4023,4025],{"className":4024},[331,332,333,334],[22,4026,4028,4057],{"className":4027},[77,334],[22,4029,4031,4034],{"className":4030},[77,334],[22,4032,423],{"className":4033},[77,504,334],[22,4035,4037],{"className":4036},[305],[22,4038,4040],{"className":4039},[309],[22,4041,4043],{"className":4042},[314],[22,4044,4046],{"className":4045,"style":2631},[318],[22,4047,4048,4051],{"style":2634},[22,4049],{"className":4050,"style":991},[326],[22,4052,4054],{"className":4053},[331,995,996,334],[22,4055,2415],{"className":4056},[77,78,334],[22,4058,51],{"className":4059},[77,78,334],[22,4061,342],{"className":4062},[341],[22,4064,4066],{"className":4065},[314],[22,4067,4069],{"className":4068,"style":546},[318],[22,4070],{},[22,4072],{"className":4073},[90,474],[22,4075],{"className":4076,"style":585},[191],[22,4078,446],{"className":4079},[589],[22,4081],{"className":4082,"style":585},[191],[22,4084,4086,4089,4129,4132,4135,4138,4282,4285,4288],{"className":4085},[68],[22,4087],{"className":4088,"style":2676},[72],[22,4090,4092,4095],{"className":4091},[77],[22,4093,2434],{"className":4094},[77,78],[22,4096,4098],{"className":4097},[305],[22,4099,4101,4121],{"className":4100},[309,310],[22,4102,4104,4118],{"className":4103},[314],[22,4105,4107],{"className":4106,"style":319},[318],[22,4108,4109,4112],{"style":322},[22,4110],{"className":4111,"style":327},[326],[22,4113,4115],{"className":4114},[331,332,333,334],[22,4116,2074],{"className":4117},[77,334],[22,4119,342],{"className":4120},[341],[22,4122,4124],{"className":4123},[314],[22,4125,4127],{"className":4126,"style":349},[318],[22,4128],{},[22,4130,48],{"className":4131},[83],[22,4133,2257],{"className":4134},[77,78],[22,4136,54],{"className":4137},[90],[22,4139,4141,4144,4279],{"className":4140},[77],[22,4142],{"className":4143},[83,474],[22,4145,4147],{"className":4146},[416],[22,4148,4150,4271],{"className":4149},[309,310],[22,4151,4153,4268],{"className":4152},[314],[22,4154,4156,4208,4216],{"className":4155,"style":2744},[318],[22,4157,4158,4161],{"style":490},[22,4159],{"className":4160,"style":494},[326],[22,4162,4164],{"className":4163},[331,332,333,334],[22,4165,4167,4170],{"className":4166},[77,334],[22,4168,423],{"className":4169},[77,504,334],[22,4171,4173,4176],{"className":4172},[77,334],[22,4174,2257],{"className":4175},[77,78,334],[22,4177,4179],{"className":4178},[305],[22,4180,4182],{"className":4181},[309],[22,4183,4185],{"className":4184},[314],[22,4186,4188],{"className":4187,"style":2777},[318],[22,4189,4190,4193],{"style":2583},[22,4191],{"className":4192,"style":991},[326],[22,4194,4196],{"className":4195},[331,995,996,334],[22,4197,4199,4202,4205],{"className":4198},[77,334],[22,4200,2415],{"className":4201},[77,78,334],[22,4203,2457],{"className":4204},[589,334],[22,4206,2074],{"className":4207},[77,334],[22,4209,4210,4213],{"style":510},[22,4211],{"className":4212,"style":494},[326],[22,4214],{"className":4215,"style":518},[517],[22,4217,4218,4221],{"style":2603},[22,4219],{"className":4220,"style":494},[326],[22,4222,4224],{"className":4223},[331,332,333,334],[22,4225,4227,4265],{"className":4226},[77,334],[22,4228,4230,4233],{"className":4229},[77,334],[22,4231,423],{"className":4232},[77,504,334],[22,4234,4236],{"className":4235},[305],[22,4237,4239],{"className":4238},[309],[22,4240,4242],{"className":4241},[314],[22,4243,4245],{"className":4244,"style":2835},[318],[22,4246,4247,4250],{"style":2634},[22,4248],{"className":4249,"style":991},[326],[22,4251,4253],{"className":4252},[331,995,996,334],[22,4254,4256,4259,4262],{"className":4255},[77,334],[22,4257,2415],{"className":4258},[7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",[22,4500,4502,4528],{"className":4501},[25],[22,4503,4505],{"className":4504},[29],[31,4506,4507],{"xmlns":33},[35,4508,4509,4525],{},[38,4510,4511,4517,4519],{},[229,4512,4513,4515],{},[41,4514,51],{},[234,4516,2074],{},[45,4518,158],{"separator":64},[229,4520,4521,4523],{},[41,4522,51],{},[234,4524,2268],{},[56,4526,4527],{"encoding":58},"x_1,x_2",[22,4529,4531],{"className":4530,"ariaHidden":64},[63],[22,4532,4534,4537,4577,4580,4583],{"className":4533},[68],[22,4535],{"className":4536,"style":259},[72],[22,4538,4540,4543],{"className":4539},[77],[22,4541,51],{"className":4542},[77,78],[22,4544,4546],{"className":4545},[305],[22,4547,4549,4569],{"className":4548},[309,310],[22,4550,4552,4566],{"className":4551},[314],[22,4553,4555],{"className":4554,"style":319},[318],[22,4556,4557,4560],{"style":322},[22,4558],{"className":4559,"style":327},[326],[22,4561,4563],{"className":4562},[331,332,333,334],[22,4564,2074],{"className":4565},[77,334],[22,4567,342],{"className":4568},[341],[22,4570,4572],{"className":4571},[314],[22,4573,4575],{"className":4574,"style":349},[318],[22,4576],{},[22,4578,158],{"className":4579},[187],[22,4581],{"className":4582,"style":192},[191],[22,4584,4586,4589],{"className":4585},[77],[22,4587,51],{"className":4588},[77,78],[22,4590,4592],{"className":4591},[305],[22,4593,4595,4615],{"className":4594},[309,310],[22,4596,4598,4612],{"className":4597},[314],[22,4599,4601],{"className":4600,"style":319},[318],[22,4602,4603,4606],{"style":322},[22,4604],{"className":4605,"style":327},[326],[22,4607,4609],{"className":4608},[331,332,333,334],[22,4610,2268],{"className":4611},[77,334],[22,4613,342],{"className":4614},[341],[22,4616,4618],{"className":4617},[314],[22,4619,4621],{"className":4620,"style":349},[318],[22,4622],{},"，求下列方程对应的非齐次线性微分方程的通解:\n(1) ",[22,4625,4627,4706],{"className":4626},[25],[22,4628,4630],{"className":4629},[29],[31,4631,4632],{"xmlns":33},[35,4633,4634,4703],{},[38,4635,4636,4647,4649,4651,4653,4656,4658,4660,4662,4666,4672,4674,4681,4683,4685,4691,4693],{},[2409,4637,4638,4640],{},[41,4639,51],{},[38,4641,4642,4645],{},[45,4643,4644],{"mathvariant":422},"′",[45,4646,4644],{"mathvariant":422},[45,4648,2457],{},[41,4650,51],{},[45,4652,218],{},[41,4654,4655],{},"cos",[45,4657,1321],{},[41,4659,2257],{},[45,4661,158],{"separator":64},[4663,4664,4665],"mtext",{}," ",[229,4667,4668,4670],{},[41,4669,51],{},[234,4671,2074],{},[45,4673,218],{},[2409,4675,4676,4679],{},[41,4677,4678],{"mathvariant":422},"e",[41,4680,2257],{},[45,4682,158],{"separator":64},[4663,4684,4665],{},[229,4686,4687,4689],{},[41,4688,51],{},[234,4690,2268],{},[45,4692,218],{},[2409,4694,4695,4697],{},[41,4696,4678],{"mathvariant":422},[38,4698,4699,4701],{},[45,4700,2457],{},[41,4702,2257],{},[56,4704,4705],{"encoding":58},"x'' - x = \\cos t, \\ x_1 = \\mathrm{e}^t, \\ x_2 = \\mathrm{e}^{-t}",[22,4707,4709,4760,4779,4853,4948],{"className":4708,"ariaHidden":64},[63],[22,4710,4712,4716,4751,4754,4757],{"className":4711},[68],[22,4713],{"className":4714,"style":4715},[72],"height:0.8352em;vertical-align:-0.0833em;",[22,4717,4719,4722],{"className":4718},[77],[22,4720,51],{"className":4721},[77,78],[22,4723,4725],{"className":4724},[305],[22,4726,4728],{"className":4727},[309],[22,4729,4731],{"className":4730},[314],[22,4732,4735],{"className":4733,"style":4734},[318],"height:0.7519em;",[22,4736,4738,4741],{"style":4737},"top:-3.063em;margin-right:0.05em;",[22,4739],{"className":4740,"style":327},[326],[22,4742,4744],{"className":4743},[331,332,333,334],[22,4745,4747],{"className":4746},[77,334],[22,4748,4750],{"className":4749},[77,334],"′′",[22,4752],{"className":4753,"style":585},[191],[22,4755,2457],{"className":4756},[589],[22,4758],{"className":4759,"style":585},[191],[22,4761,4763,4767,4770,4773,4776],{"className":4762},[68],[22,4764],{"className":4765,"style":4766},[72],"height:0.4306em;",[22,4768,51],{"className":4769},[77,78],[22,4771],{"className":4772,"style":267},[191],[22,4774,218],{"className":4775},[271],[22,4777],{"className":4778,"style":267},[191],[22,4780,4782,4786,4789,4792,4795,4798,4801,4804,4844,4847,4850],{"className":4781},[68],[22,4783],{"className":4784,"style":4785},[72],"height:0.8095em;vertical-align:-0.1944em;",[22,4787,4655],{"className":4788},[1433],[22,4790],{"className":4791,"style":192},[191],[22,4793,2257],{"className":4794},[77,78],[22,4796,158],{"className":4797},[187],[22,4799,4665],{"className":4800},[191],[22,4802],{"className":4803,"style":192},[191],[22,4805,4807,4810],{"className":4806},[77],[22,4808,51],{"className":4809},[77,78],[22,4811,4813],{"className":4812},[305],[22,4814,4816,4836],{"className":4815},[309,310],[22,4817,4819,4833],{"className":4818},[314],[22,4820,4822],{"className":4821,"style":319},[318],[22,4823,4824,4827],{"style":322},[22,4825],{"className":4826,"style":327},[326],[22,4828,4830],{"className":4829},[331,332,333,334],[22,4831,2074],{"className":4832},[77,334],[22,4834,342],{"className":4835},[341],[22,4837,4839],{"className":4838},[314],[22,4840,4842],{"className":4841,"style":349},[318],[22,4843],{},[22,4845],{"className":4846,"style":267},[191],[22,4848,218],{"className":4849},[271],[22,4851],{"className":4852,"style":267},[191],[22,4854,4856,4860,4890,4893,4896,4899,4939,4942,4945],{"className":4855},[68],[22,4857],{"className":4858,"style":4859},[72],"height:0.988em;vertical-align:-0.1944em;",[22,4861,4863,4866],{"className":4862},[77],[22,4864,4678],{"className":4865},[77,504],[22,4867,4869],{"className":4868},[305],[22,4870,4872],{"className":4871},[309],[22,4873,4875],{"className":4874},[314],[22,4876,4879],{"className":4877,"style":4878},[318],"height:0.7936em;",[22,4880,4881,4884],{"style":4737},[22,4882],{"className":4883,"style":327},[326],[22,4885,4887],{"className":4886},[331,332,333,334],[22,4888,2257],{"className":4889},[77,78,334],[22,4891,158],{"className":4892},[187],[22,4894,4665],{"className":4895},[191],[22,4897],{"className":4898,"style":192},[191],[22,4900,4902,4905],{"className":4901},[77],[22,4903,51],{"className":4904},[77,78],[22,4906,4908],{"className":4907},[305],[22,4909,4911,4931],{"className":4910},[309,310],[22,4912,4914,4928],{"className":4913},[314],[22,4915,4917],{"className":4916,"style":319},[318],[22,4918,4919,4922],{"style":322},[22,4920],{"className":4921,"style":327},[326],[22,4923,4925],{"className":4924},[331,332,333,334],[22,4926,2268],{"className":4927},[77,334],[22,4929,342],{"className":4930},[341],[22,4932,4934],{"className":4933},[314],[22,4935,4937],{"className":4936,"style":349},[318],[22,4938],{},[22,4940],{"className":4941,"style":267},[191],[22,4943,218],{"className":4944},[271],[22,4946],{"className":4947,"style":267},[191],[22,4949,4951,4954],{"className":4950},[68],[22,4952],{"className":4953,"style":4878},[72],[22,4955,4957,4960],{"className":4956},[77],[22,4958,4678],{"className":4959},[77,504],[22,4961,4963],{"className":4962},[305],[22,4964,4966],{"className":4965},[309],[22,4967,4969],{"className":4968},[314],[22,4970,4972],{"className":4971,"style":4878},[318],[22,4973,4974,4977],{"style":4737},[22,4975],{"className":4976,"style":327},[326],[22,4978,4980],{"className":4979},[331,332,333,334],[22,4981,4983,4986],{"className":4982},[77,334],[22,4984,2457],{"className":4985},[77,334],[22,4987,2257],{"className":4988},[77,78,334],";\n(3) ",[22,4991,4993,5074],{"className":4992},[25],[22,4994,4996],{"className":4995},[29],[31,4997,4998],{"xmlns":33},[35,4999,5000,5071],{},[38,5001,5002,5012,5014,5017,5019,5021,5023,5025,5027,5029,5031,5033,5035,5041,5043,5045,5047,5049,5051,5053,5055,5061,5063,5065,5067,5069],{},[2409,5003,5004,5006],{},[41,5005,51],{},[38,5007,5008,5010],{},[45,5009,4644],{"mathvariant":422},[45,5011,4644],{"mathvariant":422},[45,5013,446],{},[234,5015,5016],{},"4",[41,5018,51],{},[45,5020,218],{},[41,5022,2257],{},[41,5024,1318],{},[45,5026,1321],{},[234,5028,2268],{},[41,5030,2257],{},[45,5032,158],{"separator":64},[4663,5034,4665],{},[229,5036,5037,5039],{},[41,5038,51],{},[234,5040,2074],{},[45,5042,218],{},[41,5044,4655],{},[45,5046,1321],{},[234,5048,2268],{},[41,5050,2257],{},[45,5052,158],{"separator":64},[4663,5054,4665],{},[229,5056,5057,5059],{},[41,5058,51],{},[234,5060,2268],{},[45,5062,218],{},[41,5064,1318],{},[45,5066,1321],{},[234,5068,2268],{},[41,5070,2257],{},[56,5072,5073],{"encoding":58},"x'' + 4x = t\\sin 2t, \\ x_1 = \\cos 2t, \\ x_2 = \\sin 2t",[22,5075,5077,5124,5145,5228,5304],{"className":5076,"ariaHidden":64},[63],[22,5078,5080,5083,5115,5118,5121],{"className":5079},[68],[22,5081],{"className":5082,"style":4715},[72],[22,5084,5086,5089],{"className":5085},[77],[22,5087,51],{"className":5088},[77,78],[22,5090,5092],{"className":5091},[305],[22,5093,5095],{"className":5094},[309],[22,5096,5098],{"className":5097},[314],[22,5099,5101],{"className":5100,"style":4734},[318],[22,5102,5103,5106],{"style":4737},[22,5104],{"className":5105,"style":327},[326],[22,5107,5109],{"className":5108},[331,332,333,334],[22,5110,5112],{"className":5111},[77,334],[22,5113,4750],{"className":5114},[77,334],[22,5116],{"className":5117,"style":585},[191],[22,5119,446],{"className":5120},[589],[22,5122],{"className":5123,"style":585},[191],[22,5125,5127,5130,5133,5136,5139,5142],{"className":5126},[68],[22,5128],{"className":5129,"style":2220},[72],[22,5131,5016],{"className":5132},[77],[22,5134,51],{"className":5135},[77,78],[22,5137],{"className":5138,"style":267},[191],[22,5140,218],{"className":5141},[271],[22,5143],{"className":5144,"style":267},[191],[22,5146,5148,5152,5155,5158,5161,5164,5167,5170,5173,5176,5179,5219,5222,5225],{"className":5147},[68],[22,5149],{"className":5150,"style":5151},[72],"height:0.8623em;vertical-align:-0.1944em;",[22,5153,2257],{"className":5154},[77,78],[22,5156],{"className":5157,"style":192},[191],[22,5159,1318],{"className":5160},[1433],[22,5162],{"className":5163,"style":192},[191],[22,5165,2268],{"className":5166},[77],[22,5168,2257],{"className":5169},[77,78],[22,5171,158],{"className":5172},[187],[22,5174,4665],{"className":5175},[191],[22,5177],{"className":5178,"style":192},[191],[22,5180,5182,5185],{"className":5181},[77],[22,5183,51],{"className":5184},[77,78],[22,5186,5188],{"className":5187},[305],[22,5189,5191,5211],{"className":5190},[309,310],[22,5192,5194,5208],{"className":5193},[314],[22,5195,5197],{"className":5196,"style":319},[318],[22,5198,5199,5202],{"style":322},[22,5200],{"className":5201,"style":327},[326],[22,5203,5205],{"className":5204},[331,332,333,334],[22,5206,2074],{"className":5207},[77,334],[22,5209,342],{"className":5210},[341],[22,5212,5214],{"className":5213},[314],[22,5215,5217],{"className":5216,"style":349},[318],[22,5218],{},[22,5220],{"className":5221,"style":267},[191],[22,5223,218],{"className":5224},[271],[22,5226],{"className":5227,"style":267},[191],[22,5229,5231,5234,5237,5240,5243,5246,5249,5252,5255,5295,5298,5301],{"className":5230},[68],[22,5232],{"className":5233,"style":2155},[72],[22,5235,4655],{"className":5236},[1433],[22,5238],{"className":5239,"style":192},[191],[22,5241,2268],{"className":5242},[77],[22,5244,2257],{"className":5245},[77,78],[22,5247,158],{"className":5248},[187],[22,5250,4665],{"className":5251},[191],[22,5253],{"className":5254,"style":192},[191],[22,5256,5258,5261],{"className":5257},[77],[22,5259,51],{"className":5260},[77,78],[22,5262,5264],{"className":5263},[305],[22,5265,5267,5287],{"className":5266},[309,310],[22,5268,5270,5284],{"className":5269},[314],[22,5271,5273],{"className":5272,"style":319},[318],[22,5274,5275,5278],{"style":322},[22,5276],{"className":5277,"style":327},[326],[22,5279,5281],{"className":5280},[331,332,333,334],[22,5282,2268],{"className":5283},[77,334],[22,5285,342],{"className":5286},[341],[22,5288,5290],{"className":5289},[314],[22,5291,5293],{"className":5292,"style":349},[318],[22,5294],{},[22,5296],{"className":5297,"style":267},[191],[22,5299,218],{"className":5300},[271],[22,5302],{"className":5303,"style":267},[191],[22,5305,5307,5311,5314,5317,5320],{"className":5306},[68],[22,5308],{"className":5309,"style":5310},[72],"height:0.6679em;",[22,5312,1318],{"className":5313},[1433],[22,5315],{"className":5316,"style":192},[191],[22,5318,2268],{"className":5319},[77],[22,5321,2257],{"className":5322},[77,78],";\n(5) ",[22,5325,5327,5423],{"className":5326},[25],[22,5328,5330],{"className":5329},[29],[31,5331,5332],{"xmlns":33},[35,5333,5334,5420],{},[38,5335,5336,5342,5352,5354,5356,5363,5365,5367,5369,5372,5374,5376,5379,5385,5387,5389,5395,5397,5399,5401,5403,5409,5411,5413,5416,5418],{},[2409,5337,5338,5340],{},[41,5339,2257],{},[234,5341,2268],{},[2409,5343,5344,5346],{},[41,5345,51],{},[38,5347,5348,5350],{},[45,5349,4644],{"mathvariant":422},[45,5351,4644],{"mathvariant":422},[45,5353,2457],{},[41,5355,2257],{},[2409,5357,5358,5360],{},[41,5359,51],{},[45,5361,4644],{"mathvariant":422,"lspace":5362,"rspace":5362},"0em",[45,5364,446],{},[41,5366,51],{},[45,5368,218],{},[234,5370,5371],{},"6",[41,5373,2257],{},[45,5375,446],{},[234,5377,5378],{},"34",[2409,5380,5381,5383],{},[41,5382,2257],{},[234,5384,2268],{},[45,5386,158],{"separator":64},[4663,5388,4665],{},[229,5390,5391,5393],{},[41,5392,51],{},[234,5394,2074],{},[45,5396,218],{},[41,5398,2257],{},[45,5400,158],{"separator":64},[4663,5402,4665],{},[229,5404,5405,5407],{},[41,5406,51],{},[234,5408,2268],{},[45,5410,218],{},[41,5412,2257],{},[41,5414,5415],{},"ln",[45,5417,1321],{},[41,5419,2257],{},[56,5421,5422],{"encoding":58},"t^2 x'' - tx' + x = 6t + 34t^2, \\ x_1 = t, \\ x_2 = t\\ln t",[22,5424,5426,5504,5554,5572,5594,5691,5758],{"className":5425,"ariaHidden":64},[63],[22,5427,5429,5433,5463,5495,5498,5501],{"className":5428},[68],[22,5430],{"className":5431,"style":5432},[72],"height:0.8974em;vertical-align:-0.0833em;",[22,5434,5436,5439],{"className":5435},[77],[22,5437,2257],{"className":5438},[77,78],[22,5440,5442],{"className":5441},[305],[22,5443,5445],{"className":5444},[309],[22,5446,5448],{"className":5447},[314],[22,5449,5452],{"className":5450,"style":5451},[318],"height:0.8141em;",[22,5453,5454,5457],{"style":4737},[22,5455],{"className":5456,"style":327},[326],[22,5458,5460],{"className":5459},[331,332,333,334],[22,5461,2268],{"className":5462},[77,334],[22,5464,5466,5469],{"className":5465},[77],[22,5467,51],{"className":5468},[77,78],[22,5470,5472],{"className":5471},[305],[22,5473,5475],{"className":5474},[309],[22,5476,5478],{"className":5477},[314],[22,5479,5481],{"className":5480,"style":4734},[318],[22,5482,5483,5486],{"style":4737},[22,5484],{"className":5485,"style":327},[326],[22,5487,5489],{"className":5488},[331,332,333,334],[22,5490,5492],{"className":5491},[77,334],[22,5493,4750],{"className":5494},[77,334],[22,5496],{"className":5497,"style":585},[191],[22,5499,2457],{"className":5500},[589],[22,5502],{"className":5503,"style":585},[191],[22,5505,5507,5510,5513,5545,5548,5551],{"className":5506},[68],[22,5508],{"className":5509,"style":4715},[72],[22,5511,2257],{"className":5512},[77,78],[22,5514,5516,5519],{"className":5515},[77],[22,5517,51],{"className":5518},[77,78],[22,5520,5522],{"className":5521},[305],[22,5523,5525],{"className":5524},[309],[22,5526,5528],{"className":5527},[314],[22,5529,5531],{"className":5530,"style":4734},[318],[22,5532,5533,5536],{"style":4737},[22,5534],{"className":5535,"style":327},[326],[22,5537,5539],{"className":5538},[331,332,333,334],[22,5540,5542],{"className":5541},[77,334],[22,5543,4644],{"className":5544},[77,334],[22,5546],{"className":5547,"style":585},[191],[22,5549,446],{"className":5550},[589],[22,5552],{"className":5553,"style":585},[191],[22,5555,5557,5560,5563,5566,5569],{"className":5556},[68],[22,5558],{"className":5559,"style":4766},[72],[22,5561,51],{"className":5562},[77,78],[22,5564],{"className":5565,"style":267},[191],[22,5567,218],{"className":5568},[271],[22,5570],{"className":5571,"style":267},[191],[22,5573,5575,5579,5582,5585,5588,5591],{"className":5574},[68],[22,5576],{"className":5577,"style":5578},[72],"height:0.7278em;vertical-align:-0.0833em;",[22,5580,5371],{"className":5581},[77],[22,5583,2257],{"className":5584},[77,78],[22,5586],{"className":5587,"style":585},[191],[22,5589,446],{"className":5590},[589],[22,5592],{"className":5593,"style":585},[191],[22,5595,5597,5601,5604,5633,5636,5639,5642,5682,5685,5688],{"className":5596},[68],[22,5598],{"className":5599,"style":5600},[72],"height:1.0085em;vertical-align:-0.1944em;",[22,5602,5378],{"className":5603},[77],[22,5605,5607,5610],{"className":5606},[77],[22,5608,2257],{"className":5609},[77,78],[22,5611,5613],{"className":5612},[305],[22,5614,5616],{"className":5615},[309],[22,5617,5619],{"className":5618},[314],[22,5620,5622],{"className":5621,"style":5451},[318],[22,5623,5624,5627],{"style":4737},[22,5625],{"className":5626,"style":327},[326],[22,5628,5630],{"className":5629},[331,332,333,334],[22,5631,2268],{"className":5632},[77,334],[22,5634,158],{"className":5635},[187],[22,5637,4665],{"className":5638},[191],[22,5640],{"className":5641,"style":192},[191],[22,5643,5645,5648],{"className":5644},[77],[22,5646,51],{"className":5647},[77,78],[22,5649,5651],{"className":5650},[305],[22,5652,5654,5674],{"className":5653},[309,310],[22,5655,5657,5671],{"className":5656},[314],[22,5658,5660],{"className":5659,"style":319},[318],[22,5661,5662,5665],{"style":322},[22,5663],{"className":5664,"style":327},[326],[22,5666,5668],{"className":5667},[331,332,333,334],[22,5669,2074],{"className":5670},[77,334],[22,5672,342],{"className":5673},[341],[22,5675,5677],{"className":5676},[314],[22,5678,5680],{"className":5679,"style":349},[318],[22,5681],{},[22,5683],{"className":5684,"style":267},[191],[22,5686,218],{"className":5687},[271],[22,5689],{"className":5690,"style":267},[191],[22,5692,5694,5697,5700,5703,5706,5709,5749,5752,5755],{"className":5693},[68],[22,5695],{"className":5696,"style":4785},[72],[22,5698,2257],{"className":5699},[77,78],[22,5701,158],{"className":5702},[187],[22,5704,4665],{"className":5705},[191],[22,5707],{"className":5708,"style":192},[191],[22,5710,5712,5715],{"className":5711},[77],[22,5713,51],{"className":5714},[77,78],[22,5716,5718],{"className":5717},[305],[22,5719,5721,5741],{"className":5720},[309,310],[22,5722,5724,5738],{"className":5723},[314],[22,5725,5727],{"className":5726,"style":319},[318],[22,5728,5729,5732],{"style":322},[22,5730],{"className":5731,"style":327},[326],[22,5733,5735],{"className":5734},[331,332,333,334],[22,5736,2268],{"className":5737},[77,334],[22,5739,342],{"className":5740},[341],[22,5742,5744],{"className":5743},[314],[22,5745,5747],{"className":5746,"style":349},[318],[22,5748],{},[22,5750],{"className":5751,"style":267},[191],[22,5753,218],{"className":5754},[271],[22,5756],{"className":5757,"style":267},[191],[22,5759,5761,5765,5768,5771,5774,5777],{"className":5760},[68],[22,5762],{"className":5763,"style":5764},[72],"height:0.6944em;",[22,5766,2257],{"className":5767},[77,78],[22,5769],{"className":5770,"style":192},[191],[22,5772,5415],{"className":5773},[1433],[22,5775],{"className":5776,"style":192},[191],[22,5778,2257],{"className":5779},[77,78],";",[18,5782,5783,5784,6000,6001,6113,6114,6269,6270,6424,6425,6492,6493,4495],{},"已知方程 ",[22,5785,5787,5829],{"className":5786},[25],[22,5788,5790],{"className":5789},[29],[31,5791,5792],{"xmlns":33},[35,5793,5794,5826],{},[38,5795,5796,5818,5820,5822,5824],{},[416,5797,5798,5808],{},[38,5799,5800,5806],{},[2409,5801,5802,5804],{},[41,5803,423],{"mathvariant":422},[234,5805,2268],{},[41,5807,51],{},[38,5809,5810,5812],{},[41,5811,423],{"mathvariant":422},[2409,5813,5814,5816],{},[41,5815,2257],{},[234,5817,2268],{},[45,5819,2457],{},[41,5821,51],{},[45,5823,218],{},[234,5825,236],{},[56,5827,5828],{"encoding":58},"\\frac{\\mathrm{d}^2 x}{\\mathrm{d}t^2} - x = 0",[22,5830,5832,5973,5991],{"className":5831,"ariaHidden":64},[63],[22,5833,5835,5838,5964,5967,5970],{"className":5834},[68],[22,5836],{"className":5837,"style":2676},[72],[22,5839,5841,5844,5961],{"className":5840},[77],[22,5842],{"className":5843},[83,474],[22,5845,5847],{"className":5846},[416],[22,5848,5850,5953],{"className":5849},[309,310],[22,5851,5853,5950],{"className":5852},[314],[22,5854,5856,5899,5907],{"className":5855,"style":2744},[318],[22,5857,5858,5861],{"style":490},[22,5859],{"className":5860,"style":494},[326],[22,5862,5864],{"className":5863},[331,332,333,334],[22,5865,5867,5870],{"className":5866},[77,334],[22,5868,423],{"className":5869},[77,504,334],[22,5871,5873,5876],{"className":5872},[77,334],[22,5874,2257],{"className":5875},[77,78,334],[22,5877,5879],{"className":5878},[305],[22,5880,5882],{"className":5881},[309],[22,5883,5885],{"className":5884},[314],[22,5886,5888],{"className":5887,"style":2777},[318],[22,5889,5890,5893],{"style":2583},[22,5891],{"className":5892,"style":991},[326],[22,5894,5896],{"className":5895},[331,995,996,334],[22,5897,2268],{"className":5898},[77,334],[22,5900,5901,5904],{"style":510},[22,5902],{"className":5903,"style":494},[326],[22,5905],{"className":5906,"style":518},[517],[22,5908,5909,5912],{"style":2603},[22,5910],{"className":5911,"style":494},[326],[22,5913,5915],{"className":5914},[331,332,333,334],[22,5916,5918,5947],{"className":5917},[77,334],[22,5919,5921,5924],{"className":5920},[77,334],[22,5922,423],{"className":5923},[77,504,334],[22,5925,5927],{"className":5926},[305],[22,5928,5930],{"className":5929},[309],[22,5931,5933],{"className":5932},[314],[22,5934,5936],{"className":5935,"style":2835},[318],[22,5937,5938,5941],{"style":2634},[22,5939],{"className":5940,"style":991},[326],[22,5942,5944],{"className":5943},[331,995,996,334],[22,5945,2268],{"className":5946},[77,334],[22,5948,51],{"className":5949},[77,78,334],[22,5951,342],{"className":5952},[341],[22,5954,5956],{"className":5955},[314],[22,5957,5959],{"className":5958,"style":546},[318],[22,5960],{},[22,5962],{"className":5963},[90,474],[22,5965],{"className":5966,"style":585},[191],[22,5968,2457],{"className":5969},[589],[22,5971],{"className":5972,"style":585},[191],[22,5974,5976,5979,5982,5985,5988],{"className":5975},[68],[22,5977],{"className":5978,"style":4766},[72],[22,5980,51],{"className":5981},[77,78],[22,5983],{"className":5984,"style":267},[191],[22,5986,218],{"className":5987},[271],[22,5989],{"className":5990,"style":267},[191],[22,5992,5994,5997],{"className":5993},[68],[22,5995],{"className":5996,"style":2220},[72],[22,5998,236],{"className":5999},[77]," 有基本解组 ",[22,6002,6004,6034],{"className":6003},[25],[22,6005,6007],{"className":6006},[29],[31,6008,6009],{"xmlns":33},[35,6010,6011,6031],{},[38,6012,6013,6019,6021],{},[2409,6014,6015,6017],{},[41,6016,4678],{"mathvariant":422},[41,6018,2257],{},[45,6020,158],{"separator":64},[2409,6022,6023,6025],{},[41,6024,4678],{"mathvariant":422},[38,6026,6027,6029],{},[45,6028,2457],{},[41,6030,2257],{},[56,6032,6033],{"encoding":58},"\\mathrm{e}^t,\\mathrm{e}^{-t}",[22,6035,6037],{"className":6036,"ariaHidden":64},[63],[22,6038,6040,6043,6072,6075,6078],{"className":6039},[68],[22,6041],{"className":6042,"style":4859},[72],[22,6044,6046,6049],{"className":6045},[77],[22,6047,4678],{"className":6048},[77,504],[22,6050,6052],{"className":6051},[305],[22,6053,6055],{"className":6054},[309],[22,6056,6058],{"className":6057},[314],[22,6059,6061],{"className":6060,"style":4878},[318],[22,6062,6063,6066],{"style":4737},[22,6064],{"className":6065,"style":327},[326],[22,6067,6069],{"className":6068},[331,332,333,334],[22,6070,2257],{"className":6071},[77,78,334],[22,6073,158],{"className":6074},[187],[22,6076],{"className":6077,"style":192},[191],[22,6079,6081,6084],{"className":6080},[77],[22,6082,4678],{"className":6083},[77,504],[22,6085,6087],{"className":6086},[305],[22,6088,6090],{"className":6089},[309],[22,6091,6093],{"className":6092},[314],[22,6094,6096],{"className":6095,"style":4878},[318],[22,6097,6098,6101],{"style":4737},[22,6099],{"className":6100,"style":327},[326],[22,6102,6104],{"className":6103},[331,332,333,334],[22,6105,6107,6110],{"className":6106},[77,334],[22,6108,2457],{"className":6109},[77,334],[22,6111,2257],{"className":6112},[77,78,334],"，试求此方程适合初值条件\n",[22,6115,6117,6161],{"className":6116},[25],[22,6118,6120],{"className":6119},[29],[31,6121,6122],{"xmlns":33},[35,6123,6124,6158],{},[38,6125,6126,6128,6130,6132,6134,6136,6138,6140,6142,6148,6150,6152,6154,6156],{},[41,6127,51],{},[45,6129,48],{"stretchy":47},[234,6131,236],{},[45,6133,54],{"stretchy":47},[45,6135,218],{},[234,6137,2074],{},[45,6139,158],{"separator":64},[4663,6141,4665],{},[2409,6143,6144,6146],{},[41,6145,51],{},[45,6147,4644],{"mathvariant":422,"lspace":5362,"rspace":5362},[45,6149,48],{"stretchy":47},[234,6151,236],{},[45,6153,54],{"stretchy":47},[45,6155,218],{},[234,6157,236],{},[56,6159,6160],{"encoding":58},"x(0) = 1, \\ x'(0) = 0",[22,6162,6164,6191,6260],{"className":6163,"ariaHidden":64},[63],[22,6165,6167,6170,6173,6176,6179,6182,6185,6188],{"className":6166},[68],[22,6168],{"className":6169,"style":73},[72],[22,6171,51],{"className":6172},[77,78],[22,6174,48],{"className":6175},[83],[22,6177,236],{"className":6178},[77],[22,6180,54],{"className":6181},[90],[22,6183],{"className":6184,"style":267},[191],[22,6186,218],{"className":6187},[271],[22,6189],{"className":6190,"style":267},[191],[22,6192,6194,6198,6201,6204,6207,6210,6242,6245,6248,6251,6254,6257],{"className":6193},[68],[22,6195],{"className":6196,"style":6197},[72],"height:1.0019em;vertical-align:-0.25em;",[22,6199,2074],{"className":6200},[77],[22,6202,158],{"className":6203},[187],[22,6205,4665],{"className":6206},[191],[22,6208],{"className":6209,"style":192},[191],[22,6211,6213,6216],{"className":6212},[77],[22,6214,51],{"className":6215},[77,78],[22,6217,6219],{"className":6218},[305],[22,6220,6222],{"className":6221},[309],[22,6223,6225],{"className":6224},[314],[22,6226,6228],{"className":6227,"style":4734},[318],[22,6229,6230,6233],{"style":4737},[22,6231],{"className":6232,"style":327},[326],[22,6234,6236],{"className":6235},[331,332,333,334],[22,6237,6239],{"className":6238},[77,334],[22,6240,4644],{"className":6241},[77,334],[22,6243,48],{"className":6244},[83],[22,6246,236],{"className":6247},[77],[22,6249,54],{"className":6250},[90],[22,6252],{"className":6253,"style":267},[191],[22,6255,218],{"className":6256},[271],[22,6258],{"className":6259,"style":267},[191],[22,6261,6263,6266],{"className":6262},[68],[22,6264],{"className":6265,"style":2220},[72],[22,6267,236],{"className":6268},[77],"\n及\n",[22,6271,6273,6317],{"className":6272},[25],[22,6274,6276],{"className":6275},[29],[31,6277,6278],{"xmlns":33},[35,6279,6280,6314],{},[38,6281,6282,6284,6286,6288,6290,6292,6294,6296,6298,6304,6306,6308,6310,6312],{},[41,6283,51],{},[45,6285,48],{"stretchy":47},[234,6287,236],{},[45,6289,54],{"stretchy":47},[45,6291,218],{},[234,6293,236],{},[45,6295,158],{"separator":64},[4663,6297,4665],{},[2409,6299,6300,6302],{},[41,6301,51],{},[45,6303,4644],{"mathvariant":422,"lspace":5362,"rspace":5362},[45,6305,48],{"stretchy":47},[234,6307,236],{},[45,6309,54],{"stretchy":47},[45,6311,218],{},[234,6313,2074],{},[56,6315,6316],{"encoding":58},"x(0) = 0, \\ x'(0) = 1",[22,6318,6320,6347,6415],{"className":6319,"ariaHidden":64},[63],[22,6321,6323,6326,6329,6332,6335,6338,6341,6344],{"className":6322},[68],[22,6324],{"className":6325,"style":73},[72],[22,6327,51],{"className":6328},[77,78],[22,6330,48],{"className":6331},[83],[22,6333,236],{"className":6334},[77],[22,6336,54],{"className":6337},[90],[22,6339],{"className":6340,"style":267},[191],[22,6342,218],{"className":6343},[271],[22,6345],{"className":6346,"style":267},[191],[22,6348,6350,6353,6356,6359,6362,6365,6397,6400,6403,6406,6409,6412],{"className":6349},[68],[22,6351],{"className":6352,"style":6197},[72],[22,6354,236],{"className":6355},[77],[22,6357,158],{"className":6358},[187],[22,6360,4665],{"className":6361},[191],[22,6363],{"className":6364,"style":192},[191],[22,6366,6368,6371],{"className":6367},[77],[22,6369,51],{"className":6370},[77,78],[22,6372,6374],{"className":6373},[305],[22,6375,6377],{"className":6376},[309],[22,6378,6380],{"className":6379},[314],[22,6381,6383],{"className":6382,"style":4734},[318],[22,6384,6385,6388],{"style":4737},[22,6386],{"className":6387,"style":327},[326],[22,6389,6391],{"className":6390},[331,332,333,334],[22,6392,6394],{"className":6393},[77,334],[22,6395,4644],{"className":6396},[77,334],[22,6398,48],{"className":6399},[83],[22,6401,236],{"className":6402},[77],[22,6404,54],{"className":6405},[90],[22,6407],{"className":6408,"style":267},[191],[22,6410,218],{"className":6411},[271],[22,6413],{"className":6414,"style":267},[191],[22,6416,6418,6421],{"className":6417},[68],[22,6419],{"className":6420,"style":2220},[72],[22,6422,2074],{"className":6423},[77],"\n的基本解组（称为标准基本解组，即有 ",[22,6426,6428,6453],{"className":6427},[25],[22,6429,6431],{"className":6430},[29],[31,6432,6433],{"xmlns":33},[35,6434,6435,6450],{},[38,6436,6437,6440,6442,6444,6446,6448],{},[41,6438,6439],{},"W",[45,6441,48],{"stretchy":47},[234,6443,236],{},[45,6445,54],{"stretchy":47},[45,6447,218],{},[234,6449,2074],{},[56,6451,6452],{"encoding":58},"W(0) = 1",[22,6454,6456,6483],{"className":6455,"ariaHidden":64},[63],[22,6457,6459,6462,6465,6468,6471,6474,6477,6480],{"className":6458},[68],[22,6460],{"className":6461,"style":73},[72],[22,6463,6439],{"className":6464,"style":79},[77,78],[22,6466,48],{"className":6467},[83],[22,6469,236],{"className":6470},[77],[22,6472,54],{"className":6473},[90],[22,6475],{"className":6476,"style":267},[191],[22,6478,218],{"className":6479},[271],[22,6481],{"className":6482,"style":267},[191],[22,6484,6486,6489],{"className":6485},[68],[22,6487],{"className":6488,"style":2220},[72],[22,6490,2074],{"className":6491},[77],"），并由此求出方程适合初值条件\n",[22,6494,6496,6551],{"className":6495},[25],[22,6497,6499],{"className":6498},[29],[31,6500,6501],{"xmlns":33},[35,6502,6503,6548],{},[38,6504,6505,6507,6509,6511,6513,6515,6521,6523,6525,6531,6533,6535,6537,6539],{},[41,6506,51],{},[45,6508,48],{"stretchy":47},[234,6510,236],{},[45,6512,54],{"stretchy":47},[45,6514,218],{},[229,6516,6517,6519],{},[41,6518,51],{},[234,6520,236],{},[45,6522,158],{"separator":64},[4663,6524,4665],{},[2409,6526,6527,6529],{},[41,6528,51],{},[45,6530,4644],{"mathvariant":422,"lspace":5362,"rspace":5362},[45,6532,48],{"stretchy":47},[234,6534,236],{},[45,6536,54],{"stretchy":47},[45,6538,218],{},[6540,6541,6542,6544,6546],"msubsup",{},[41,6543,51],{},[234,6545,236],{},[45,6547,4644],{"mathvariant":422,"lspace":5362,"rspace":5362},[56,6549,6550],{"encoding":58},"x(0) = x_0, \\ x'(0) = x'_0",[22,6552,6554,6581,6686],{"className":6553,"ariaHidden":64},[63],[22,6555,6557,6560,6563,6566,6569,6572,6575,6578],{"className":6556},[68],[22,6558],{"className":6559,"style":73},[72],[22,6561,51],{"className":6562},[77,78],[22,6564,48],{"className":6565},[83],[22,6567,236],{"className":6568},[77],[22,6570,54],{"className":6571},[90],[22,6573],{"className":6574,"style":267},[191],[22,6576,218],{"className":6577},[271],[22,6579],{"className":6580,"style":267},[191],[22,6582,6584,6587,6627,6630,6633,6636,6668,6671,6674,6677,6680,6683],{"className":6583},[68],[22,6585],{"className":6586,"style":6197},[72],[22,6588,6590,6593],{"className":6589},[77],[22,6591,51],{"className":6592},[77,78],[22,6594,6596],{"className":6595},[305],[22,6597,6599,6619],{"className":6598},[309,310],[22,6600,6602,6616],{"className":6601},[314],[22,6603,6605],{"className":6604,"style":319},[318],[22,6606,6607,6610],{"style":322},[22,6608],{"className":6609,"style":327},[326],[22,6611,6613],{"className":6612},[331,332,333,334],[22,6614,236],{"className":6615},[77,334],[22,6617,342],{"className":6618},[341],[22,6620,6622],{"className":6621},[314],[22,6623,6625],{"className":6624,"style":349},[318],[22,6626],{},[22,6628,158],{"className":6629},[187],[22,6631,4665],{"className":6632},[191],[22,6634],{"className":6635,"style":192},[191],[22,6637,6639,6642],{"className":6638},[77],[22,6640,51],{"className":6641},[77,78],[22,6643,6645],{"className":6644},[305],[22,6646,6648],{"className":6647},[309],[22,6649,6651],{"className":6650},[314],[22,6652,6654],{"className":6653,"style":4734},[318],[22,6655,6656,6659],{"style":4737},[22,6657],{"className":6658,"style":327},[326],[22,6660,6662],{"className":6661},[331,332,333,334],[22,6663,6665],{"className":6664},[77,334],[22,6666,4644],{"className":6667},[77,334],[22,6669,48],{"className":6670},[83],[22,6672,236],{"className":6673},[77],[22,6675,54],{"className":6676},[90],[22,6678],{"className":6679,"style":267},[191],[22,6681,218],{"className":6682},[271],[22,6684],{"className":6685,"style":267},[191],[22,6687,6689,6693],{"className":6688},[68],[22,6690],{"className":6691,"style":6692},[72],"height:1em;vertical-align:-0.2481em;",[22,6694,6696,6699],{"className":6695},[77],[22,6697,51],{"className":6698},[77,78],[22,6700,6702],{"className":6701},[305],[22,6703,6705,6740],{"className":6704},[309,310],[22,6706,6708,6737],{"className":6707},[314],[22,6709,6711,6723],{"className":6710,"style":4734},[318],[22,6712,6714,6717],{"style":6713},"top:-2.4519em;margin-left:0em;margin-right:0.05em;",[22,6715],{"className":6716,"style":327},[326],[22,6718,6720],{"className":6719},[331,332,333,334],[22,6721,236],{"className":6722},[77,334],[22,6724,6725,6728],{"style":4737},[22,6726],{"className":6727,"style":327},[326],[22,6729,6731],{"className":6730},[331,332,333,334],[22,6732,6734],{"className":6733},[77,334],[22,6735,4644],{"className":6736},[77,334],[22,6738,342],{"className":6739},[341],[22,6741,6743],{"className":6742},[314],[22,6744,6747],{"className":6745,"style":6746},[318],"height:0.2481em;",[22,6748],{},[18,6750,6751,6752,6929,6930,6958,6959,7003,7004,7047,7048,7220,7221],{},"设 ",[22,6753,6755,6807],{"className":6754},[25],[22,6756,6758],{"className":6757},[29],[31,6759,6760],{"xmlns":33},[35,6761,6762,6804],{},[38,6763,6764,6771,6773,6775,6777,6779,6781,6783,6785,6787,6789,6791,6793,6795,6798,6800,6802],{},[229,6765,6766,6768],{},[41,6767,51],{},[41,6769,6770],{},"i",[45,6772,48],{"stretchy":47},[41,6774,2257],{},[45,6776,54],{"stretchy":47},[4663,6778,4665],{},[45,6780,48],{"stretchy":47},[41,6782,6770],{},[45,6784,218],{},[234,6786,2074],{},[45,6788,158],{"separator":64},[234,6790,2268],{},[45,6792,158],{"separator":64},[45,6794,2482],{},[4663,6796,6797],{}," ",[45,6799,158],{"separator":64},[41,6801,2415],{},[45,6803,54],{"stretchy":47},[56,6805,6806],{"encoding":58},"x_i(t) \\ (i = 1,2,\\cdots,n)",[22,6808,6810,6884],{"className":6809,"ariaHidden":64},[63],[22,6811,6813,6816,6857,6860,6863,6866,6869,6872,6875,6878,6881],{"className":6812},[68],[22,6814],{"className":6815,"style":73},[72],[22,6817,6819,6822],{"className":6818},[77],[22,6820,51],{"className":6821},[77,78],[22,6823,6825],{"className":6824},[305],[22,6826,6828,6849],{"className":6827},[309,310],[22,6829,6831,6846],{"className":6830},[314],[22,6832,6835],{"className":6833,"style":6834},[318],"height:0.3117em;",[22,6836,6837,6840],{"style":322},[22,6838],{"className":6839,"style":327},[326],[22,6841,6843],{"className":6842},[331,332,333,334],[22,6844,6770],{"className":6845},[77,78,334],[22,6847,342],{"className":6848},[341],[22,6850,6852],{"className":6851},[314],[22,6853,6855],{"className":6854,"style":349},[318],[22,6856],{},[22,6858,48],{"className":6859},[83],[22,6861,2257],{"className":6862},[77,78],[22,6864,54],{"className":6865},[90],[22,6867,4665],{"className":6868},[191],[22,6870,48],{"className":6871},[83],[22,6873,6770],{"className":6874},[77,78],[22,6876],{"className":6877,"style":267},[191],[22,6879,218],{"className":6880},[271],[22,6882],{"className":6883,"style":267},[191],[22,6885,6887,6890,6893,6896,6899,6902,6905,6908,6911,6914,6917,6920,6923,6926],{"className":6886},[68],[22,6888],{"className":6889,"style":73},[72],[22,6891,2074],{"className":6892},[77],[22,6894,158],{"className":6895},[187],[22,6897],{"className":6898,"style":192},[191],[22,6900,2268],{"className":6901},[77],[22,6903,158],{"className":6904},[187],[22,6906],{"className":6907,"style":192},[191],[22,6909,2482],{"className":6910},[2892],[22,6912],{"className":6913,"style":192},[191],[22,6915],{"className":6916,"style":192},[191],[22,6918,158],{"className":6919},[187],[22,6921],{"className":6922,"style":192},[191],[22,6924,2415],{"className":6925},[77,78],[22,6927,54],{"className":6928},[90]," 是齐次线性微分方程 (4.2) 的任意 ",[22,6931,6933,6946],{"className":6932},[25],[22,6934,6936],{"className":6935},[29],[31,6937,6938],{"xmlns":33},[35,6939,6940,6944],{},[38,6941,6942],{},[41,6943,2415],{},[56,6945,2415],{"encoding":58},[22,6947,6949],{"className":6948,"ariaHidden":64},[63],[22,6950,6952,6955],{"className":6951},[68],[22,6953],{"className":6954,"style":4766},[72],[22,6956,2415],{"className":6957},[77,78]," 个解，它们所构成的朗斯基行列式记为 ",[22,6960,6962,6982],{"className":6961},[25],[22,6963,6965],{"className":6964},[29],[31,6966,6967],{"xmlns":33},[35,6968,6969,6979],{},[38,6970,6971,6973,6975,6977],{},[41,6972,6439],{},[45,6974,48],{"stretchy":47},[41,6976,2257],{},[45,6978,54],{"stretchy":47},[56,6980,6981],{"encoding":58},"W(t)",[22,6983,6985],{"className":6984,"ariaHidden":64},[63],[22,6986,6988,6991,6994,6997,7000],{"className":6987},[68],[22,6989],{"className":6990,"style":73},[72],[22,6992,6439],{"className":6993,"style":79},[77,78],[22,6995,48],{"className":6996},[83],[22,6998,2257],{"className":6999},[77,78],[22,7001,54],{"className":7002},[90],". 试证明 ",[22,7005,7007,7026],{"className":7006},[25],[22,7008,7010],{"className":7009},[29],[31,7011,7012],{"xmlns":33},[35,7013,7014,7024],{},[38,7015,7016,7018,7020,7022],{},[41,7017,6439],{},[45,7019,48],{"stretchy":47},[41,7021,2257],{},[45,7023,54],{"stretchy":47},[56,7025,6981],{"encoding":58},[22,7027,7029],{"className":7028,"ariaHidden":64},[63],[22,7030,7032,7035,7038,7041,7044],{"className":7031},[68],[22,7033],{"className":7034,"style":73},[72],[22,7036,6439],{"className":7037,"style":79},[77,78],[22,7039,48],{"className":7040},[83],[22,7042,2257],{"className":7043},[77,78],[22,7045,54],{"className":7046},[90]," 满足一阶线性微分方程\n",[22,7049,7051,7091],{"className":7050},[25],[22,7052,7054],{"className":7053},[29],[31,7055,7056],{"xmlns":33},[35,7057,7058,7088],{},[38,7059,7060,7066,7068,7074,7076,7078,7080,7082,7084,7086],{},[2409,7061,7062,7064],{},[41,7063,6439],{},[45,7065,4644],{"mathvariant":422,"lspace":5362,"rspace":5362},[45,7067,446],{},[229,7069,7070,7072],{},[41,7071,2434],{},[234,7073,2074],{},[45,7075,48],{"stretchy":47},[41,7077,2257],{},[45,7079,54],{"stretchy":47},[41,7081,6439],{},[45,7083,218],{},[234,7085,236],{},[45,7087,158],{"separator":64},[56,7089,7090],{"encoding":58},"W' + a_1(t)W = 0,",[22,7092,7094,7141,7208],{"className":7093,"ariaHidden":64},[63],[22,7095,7097,7100,7132,7135,7138],{"className":7096},[68],[22,7098],{"className":7099,"style":4715},[72],[22,7101,7103,7106],{"className":7102},[77],[22,7104,6439],{"className":7105,"style":79},[77,78],[22,7107,7109],{"className":7108},[305],[22,7110,7112],{"className":7111},[309],[22,7113,7115],{"className":7114},[314],[22,7116,7118],{"className":7117,"style":4734},[318],[22,7119,7120,7123],{"style":4737},[22,7121],{"className":7122,"style":327},[326],[22,7124,7126],{"className":7125},[331,332,333,334],[22,7127,7129],{"className":7128},[77,334],[22,7130,4644],{"className":7131},[77,334],[22,7133],{"className":7134,"style":585},[191],[22,7136,446],{"className":7137},[589],[22,7139],{"className":7140,"style":585},[191],[22,7142,7144,7147,7187,7190,7193,7196,7199,7202,7205],{"className":7143},[68],[22,7145],{"className":7146,"style":73},[72],[22,7148,7150,7153],{"className":7149},[77],[22,7151,2434],{"className":7152},[77,78],[22,7154,7156],{"className":7155},[305],[22,7157,7159,7179],{"className":7158},[309,310],[22,7160,7162,7176],{"className":7161},[314],[22,7163,7165],{"className":7164,"style":319},[318],[22,7166,7167,7170],{"style":322},[22,7168],{"className":7169,"style":327},[326],[22,7171,7173],{"className":7172},[331,332,333,334],[22,7174,2074],{"className":7175},[77,334],[22,7177,342],{"className":7178},[341],[22,7180,7182],{"className":7181},[314],[22,7183,7185],{"className":7184,"style":349},[318],[22,7186],{},[22,7188,48],{"className":7189},[83],[22,7191,2257],{"className":7192},[77,78],[22,7194,54],{"className":7195},[90],[22,7197,6439],{"className":7198,"style":79},[77,78],[22,7200],{"className":7201,"style":267},[191],[22,7203,218],{"className":7204},[271],[22,7206],{"className":7207,"style":267},[191],[22,7209,7211,7214,7217],{"className":7210},[68],[22,7212],{"className":7213,"style":2155},[72],[22,7215,236],{"className":7216},[77],[22,7218,158],{"className":7219},[187],"\n因而有\n",[22,7222,7224,7324],{"className":7223},[25],[22,7225,7227],{"className":7226},[29],[31,7228,7229],{"xmlns":33},[35,7230,7231,7321],{},[38,7232,7233,7235,7237,7239,7241,7243,7245,7247,7253,7255,7293,7299,7301,7303,7305,7308,7310,7312,7314,7317,7319],{},[41,7234,6439],{},[45,7236,48],{"stretchy":47},[41,7238,2257],{},[45,7240,54],{"stretchy":47},[45,7242,218],{},[41,7244,6439],{},[45,7246,48],{"stretchy":47},[229,7248,7249,7251],{},[41,7250,2257],{},[234,7252,236],{},[45,7254,54],{"stretchy":47},[2409,7256,7257,7259],{},[41,7258,4678],{"mathvariant":422},[38,7260,7261,7263,7276,7282,7284,7287,7289,7291],{},[45,7262,2457],{},[6540,7264,7265,7268,7274],{},[45,7266,7267],{},"∫",[229,7269,7270,7272],{},[41,7271,2257],{},[234,7273,236],{},[41,7275,2257],{},[229,7277,7278,7280],{},[41,7279,2434],{},[234,7281,2074],{},[45,7283,48],{"stretchy":47},[41,7285,7286],{},"s",[45,7288,54],{"stretchy":47},[41,7290,423],{"mathvariant":422},[41,7292,7286],{},[229,7294,7295,7297],{},[41,7296,2257],{},[234,7298,236],{},[45,7300,158],{"separator":64},[4663,7302,4665],{},[41,7304,2257],{},[45,7306,7307],{},"∈",[45,7309,48],{"stretchy":47},[41,7311,2434],{},[45,7313,158],{"separator":64},[41,7315,7316],{},"b",[45,7318,54],{"stretchy":47},[41,7320,1284],{"mathvariant":422},[56,7322,7323],{"encoding":58},"W(t) = W(t_0)\\mathrm{e}^{-\\int_{t_0}^t a_1(s)\\mathrm{d}s}t_0, \\ t \\in (a,b).",[22,7325,7327,7354,7666],{"className":7326,"ariaHidden":64},[63],[22,7328,7330,7333,7336,7339,7342,7345,7348,7351],{"className":7329},[68],[22,7331],{"className":7332,"style":73},[72],[22,7334,6439],{"className":7335,"style":79},[77,78],[22,7337,48],{"className":7338},[83],[22,7340,2257],{"className":7341},[77,78],[22,7343,54],{"className":7344},[90],[22,7346],{"className":7347,"style":267},[191],[22,7349,218],{"className":7350},[271],[22,7352],{"className":7353,"style":267},[191],[22,7355,7357,7361,7364,7367,7407,7410,7605,7645,7648,7651,7654,7657,7660,7663],{"className":7356},[68],[22,7358],{"className":7359,"style":7360},[72],"height:1.3959em;vertical-align:-0.25em;",[22,7362,6439],{"className":7363,"style":79},[77,78],[22,7365,48],{"className":7366},[83],[22,7368,7370,7373],{"className":7369},[77],[22,7371,2257],{"className":7372},[77,78],[22,7374,7376],{"className":7375},[305],[22,7377,7379,7399],{"className":7378},[309,310],[22,7380,7382,7396],{"className":7381},[314],[22,7383,7385],{"className":7384,"style":319},[318],[22,7386,7387,7390],{"style":322},[22,7388],{"className":7389,"style":327},[326],[22,7391,7393],{"className":7392},[331,332,333,334],[22,7394,236],{"className":7395},[77,334],[22,7397,342],{"className":7398},[341],[22,7400,7402],{"className":7401},[314],[22,7403,7405],{"className":7404,"style":349},[318],[22,7406],{},[22,7408,54],{"className":7409},[90],[22,7411,7413,7416],{"className":7412},[77],[22,7414,4678],{"className":7415},[77,504],[22,7417,7419],{"className":7418},[305],[22,7420,7422],{"className":7421},[309],[22,7423,7425],{"className":7424},[314],[22,7426,7429],{"className":7427,"style":7428},[318],"height:1.1459em;",[22,7430,7432,7435],{"style":7431},"top:-3.2219em;margin-right:0.05em;",[22,7433],{"className":7434,"style":327},[326],[22,7436,7438],{"className":7437},[331,332,333,334],[22,7439,7441,7444,7448,7547,7550,7590,7593,7596,7599,7602],{"className":7440},[77,334],[22,7442,2457],{"className":7443},[77,334],[22,7445],{"className":7446,"style":7447},[191,334],"margin-right:0.1952em;",[22,7449,7451,7457],{"className":7450},[1433,334],[22,7452,7267],{"className":7453,"style":7456},[1433,7454,7455,334],"op-symbol","small-op","margin-right:0.1945em;position:relative;top:-0.0006em;",[22,7458,7460],{"className":7459},[305],[22,7461,7463,7538],{"className":7462},[309,310],[22,7464,7466,7535],{"className":7465},[314],[22,7467,7470,7523],{"className":7468,"style":7469},[318],"height:0.8915em;",[22,7471,7473,7476],{"style":7472},"top:-2.1225em;margin-left:-0.1945em;margin-right:0.0714em;",[22,7474],{"className":7475,"style":991},[326],[22,7477,7479],{"className":7478},[331,995,996,334],[22,7480,7482],{"className":7481},[77,334],[22,7483,7485,7488],{"className":7484},[77,334],[22,7486,2257],{"className":7487},[77,78,334],[22,7489,7491],{"className":7490},[305],[22,7492,7494,7514],{"className":7493},[309,310],[22,7495,7497,7511],{"className":7496},[314],[22,7498,7501],{"className":7499,"style":7500},[318],"height:0.3448em;",[22,7502,7504,7508],{"style":7503},"top:-2.3448em;margin-left:0em;margin-right:0.1em;",[22,7505],{"className":7506,"style":7507},[326],"height:2.6444em;",[22,7509,236],{"className":7510},[77,334],[22,7512,342],{"className":7513},[341],[22,7515,7517],{"className":7516},[314],[22,7518,7521],{"className":7519,"style":7520},[318],"height:0.2996em;",[22,7522],{},[22,7524,7526,7529],{"style":7525},"top:-2.9521em;margin-right:0.0714em;",[22,7527],{"className":7528,"style":991},[326],[22,7530,7532],{"className":7531},[331,995,996,334],[22,7533,2257],{"className":7534},[77,78,334],[22,7536,342],{"className":7537},[341],[22,7539,7541],{"className":7540},[314],[22,7542,7545],{"className":7543,"style":7544},[318],"height:0.5916em;",[22,7546],{},[22,7548],{"className":7549,"style":7447},[191,334],[22,7551,7553,7556],{"className":7552},[77,334],[22,7554,2434],{"className":7555},[77,78,334],[22,7557,7559],{"className":7558},[305],[22,7560,7562,7582],{"className":7561},[309,310],[22,7563,7565,7579],{"className":7564},[314],[22,7566,7568],{"className":7567,"style":984},[318],[22,7569,7570,7573],{"style":987},[22,7571],{"className":7572,"style":991},[326],[22,7574,7576],{"className":7575},[331,995,996,334],[22,7577,2074],{"className":7578},[77,334],[22,7580,342],{"className":7581},[341],[22,7583,7585],{"className":7584},[314],[22,7586,7588],{"className":7587,"style":1009},[318],[22,7589],{},[22,7591,48],{"className":7592},[83,334],[22,7594,7286],{"className":7595},[77,78,334],[22,7597,54],{"className":7598},[90,334],[22,7600,423],{"className":7601},[77,504,334],[22,7603,7286],{"className":7604},[77,78,334],[22,7606,7608,7611],{"className":7607},[77],[22,7609,2257],{"className":7610},[77,78],[22,7612,7614],{"className":7613},[305],[22,7615,7617,7637],{"className":7616},[309,310],[22,7618,7620,7634],{"className":7619},[314],[22,7621,7623],{"className":7622,"style":319},[318],[22,7624,7625,7628],{"style":322},[22,7626],{"className":7627,"style":327},[326],[22,7629,7631],{"clas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",[22,7697,7699,7712],{"className":7698},[25],[22,7700,7702],{"className":7701},[29],[31,7703,7704],{"xmlns":33},[35,7705,7706,7710],{},[38,7707,7708],{},[41,7709,2415],{},[56,7711,2415],{"encoding":58},[22,7713,7715],{"className":7714,"ariaHidden":64},[63],[22,7716,7718,7721],{"className":7717},[68],[22,7719],{"className":7720,"style":4766},[72],[22,7722,2415],{"className":7723},[77,78]," 阶非齐次线性微分方程 (4.1) 存在且最多存在 ",[22,7726,7728,7746],{"className":7727},[25],[22,7729,7731],{"className":7730},[29],[31,7732,7733],{"xmlns":33},[35,7734,7735,7743],{},[38,7736,7737,7739,7741],{},[41,7738,2415],{},[45,7740,446],{},[234,7742,2074],{},[56,7744,7745],{"encoding":58},"n+1",[22,7747,7749,7767],{"className":7748,"ariaHidden":64},[63],[22,7750,7752,7755,7758,7761,7764],{"className":7751},[68],[22,7753],{"className":7754,"style":2888},[72],[22,7756,2415],{"className":7757},[77,78],[22,7759],{"className":7760,"style":585},[191],[22,7762,446],{"className":7763},[589],[22,7765],{"className":7766,"style":585},[191],[22,7768,7770,7773],{"className":7769},[68],[22,7771],{"className":7772,"style":2220},[72],[22,7774,2074],{"className":7775},[77]," 个线性无关解.",{"title":7778,"searchDepth":2231,"depth":2231,"links":7779},"",[7780,7782],{"id":12,"depth":7781,"text":13},3,{"id":2227,"depth":7781,"text":2228},"md",{"order":7785},1,true,"\u002Fsource\u002Fmath\u002Fode\u002Fprob",{"title":5,"description":7778},"source\u002Fmath\u002Fode\u002Fprob","6SMX9Ca3dm_rT482zYUWRLpORk0vQbEAy57J-Hx0wrE",null,1784032894818]