求下列差分方程的解。[br][/br][tex=20.429x1.357]nHBhQHaAaxK8g3lyu2Oqu6KPTra6MSSLpLyLrB91donyifjiXO3axjSfFJ07l78W[/tex]

2022-06-11

求下列差分方程的解。[br][/br][tex=20.429x1.357]nHBhQHaAaxK8g3lyu2Oqu6KPTra6MSSLpLyLrB91donyifjiXO3axjSfFJ07l78W[/tex]

答案：

      此差分方程的特征方程为 [tex=5.429x1.357]CwXzrx7JK2pbBRD30FK1atKw/C/kIMpkYn3DdkLrUNg=[/tex], 解得特征根 [tex=8.643x1.214]J9KTF0yhfmhyibmhtRMM6irKUit/q7KFiWgMFcpS+anp0diVyDh9PjlBZd0t0dxd[/tex], 故其齐次解[p=align:center][tex=12.429x1.357]HADEqDB6+/XOyHbT1wYtV35UKp/IB23OPCwZGIT1aOfh8doKtO9aJRMPfPaevoaE[/tex]初始条件 [tex=15.857x1.357]7SaQAgkCyn1EYhomWUkIKRwe883EmmmYKoJvwf64KBuTKd1NZLqRwpkpMj+rF3NM[/tex][p=align:center][tex=27.714x5.214]thMFOI0/VnVsJT08kMg9k73Ttu338R7cYMG9R+X8dVGeimO+ldERgA4s2sTZhf4Z93airlrlhVblozZ1boucVitF7M2sqVTSQ2tJHdD/H7XwBhnnRhyZuS1KmcvHvPiVw/+/0l2HY0E3EAONsacif1dULDKhl2XzXoryaEvdjUoUreIezvogttxCptxy6iC6JiKMmNiGDHvvnRq4VzOGxKXe/D+3XsJi5MvVPIWetQLWffPqSBGfMPNvVBPnk+K9Py1eqSpbQHa8AcVHsWyXF8ISvHh2EnuY3EG1x8j0Qn4eJTSd3GQfxelHQZ/cT+7WbN0LKLNtNAXDyrpSRUQbY2bk7T77WDqYHJEwnUSi5nGbqpPvfmVDUS/1zFiPORdMYpJNF8Gk40+VXo5Nosh767dcKyUn2Jf+10L1ahdZu9sD+CLodY/6a4TRy8zvhyXP[/tex]故此齐次差分方程的解为[p=align:center][tex=24.0x2.786]zS1Zuj1MHyxOngUqqyuXbw05maC8Lfc4w7vUsUVaW/NHLey3rwZ3SiKSbixIFZX0JFSH2l40KMLzdVGBEfU245n3CAHwibV5d/rH8AF2xrWMUPvjgEDB0oaDeQpAIQFPGQytI9S1ARJZ8aLWyzJf7lj0oaORnzgDMssdaTevcpY=[/tex]

举一反三

内容

0
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1
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2
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3
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4
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