求下列差分方程的解。[br][/br][tex=20.429x1.357]nHBhQHaAaxK8g3lyu2Oqu6KPTra6MSSLpLyLrB91donyifjiXO3axjSfFJ07l78W[/tex]
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
- 求下列差分方程的解。[br][/br][tex=12.0x1.357]JBj7Uhpv0VnkhThKZ6G+7rZfEkjZGk38+ee53ObkxcA=[/tex]
- 求下列差分方程的解。[br][/br][tex=11.929x1.357]6WUXhleoIAYs9sDit97FnODsk12e5E7AvLkI7xWc8KU=[/tex]
- 求下列差分方程的解。[br][/br][tex=24.714x1.357]k616bZ3tU4eAdHTCLlLPd8EPoXQtG3f2ZMcpDEgPbmrNvgT2huW98cWWQxmnehlL48QFWLFyMfaC5EK88AxCuA==[/tex]
- 求下列差分方程的解。[br][/br][tex=22.929x1.357]k616bZ3tU4eAdHTCLlLPdy4bLKZ9WN9XFNeitB/jHQocbosPT+uNjgK6fm7k0TIfvUwm9CeQowFoiQhEai5ilw==[/tex]
- 求下列差分方程的解。[br][/br][tex=11.714x1.357]YVkbgnig+5eE75sLL3Q7wGuW9xZ1Vzu4n4lKth9jU/o=[/tex]
内容
- 0
求下列差分方程的解。[br][/br][tex=13.071x2.357]R61fKN0yDJ2wnvsNGWO7VlYXfzFGuGOk6RebgpLe2J/K8NhOq2lr0OfttuXO81Io[/tex]
- 1
求下列差分方程的解。[br][/br][tex=19.643x1.357]eNPo7sHpVIcBe3dC/eTFQwvBOfr9LVP98jRy+oZIjRKLdzWTgdo/bqbFdDyO80UK[/tex]
- 2
求下列差分方程的解。[br][/br][tex=10.929x1.357]LAECOT5eOx+/OJmLfXMpQABT/qFHPpn0qWmyG70URyQ=[/tex]
- 3
求下列差分方程的解。[br][/br][tex=29.0x1.357]qGCSeafK/b2t28IEkpMmRcwdlyIVe/wZ7U2ByWjIaPmA9CP2hiIep4BkO1i61PiGrMehtdGQrSSVan9+7dzgqQ==[/tex].
- 4
求下列差分方程的解。[br][/br][tex=19.143x1.357]eNPo7sHpVIcBe3dC/eTFQ+6HZ6bsqLaET+qjyPHUPsu3tT/S+51Or0BL9wYf+k/o[/tex]