求下列差分方程的解。[br][/br][tex=19.143x1.357]eNPo7sHpVIcBe3dC/eTFQ+6HZ6bsqLaET+qjyPHUPsu3tT/S+51Or0BL9wYf+k/o[/tex]
此差分方程的特征方程为[tex=5.429x1.357]CwXzrx7JK2pbBRD30FK1akV/IGiRfbLEz5PWuvSJXiA=[/tex], 解得特征根 [tex=4.714x1.214]6CzHpBoEVdfGanuoycm4yNCUnxyuqUg+s1ECpQuQs7w=[/tex], 故其齐次解[p=align:center][tex=9.214x1.357]CvqeOBXo4K8YfyY7GzpqVrykRo8LVeNcE+c77zeOK/zN1p/XXEiLQuoR7DGUFFc6[/tex]初始条件[tex=20.357x1.357]7SaQAgkCyn1EYhomWUkIKT4Pz8K0Iw9aXxwQ4z5luM8ZLLYPXYTmiXd8JxMTo+fH17qfWX/ApwHtROW+hwHjyg==[/tex][p=align:center][tex=20.929x3.357]thMFOI0/VnVsJT08kMg9k73Ttu338R7cYMG9R+X8dVGqwV8pPqAjv0Wpn/nsyrZ00+JE2DvclC0l+mNSBb5W6oEYgjPBiHIQD3iDpOd3cSna049ELQdDsFh0SEx6cuI+gpJUTpC8Tw07QNVxwJQkHB72nKxMnwietR9DxtVQ5FkUUSKzYcGIi/TTY4gJwe3Bb7+ViPmQmOeUU9jzqA9zSlMzKFgClvlCGj5FpchJxWQavSNje5Esg8poAXSixdhr0cSstSgD8Q+bAU1UYwULxr+w+0LRNjFovqwSN0WZ/YvUAWVIMK273bJyKksi7nzjY+glMopCnyM+dvriZL7GJHGUvtVxJVgn7WiBe7Z4MdA=[/tex]故此齐次差分方程的解为[p=align:center][tex=10.143x1.357]yTAhqI2ue8lS0RmS4phHSknPx2bTre2/HDn8jVRbAhqYAwD7UEhBvLJdNmNz+FvI[/tex]
举一反三
- 求下列差分方程的解。[br][/br][tex=19.643x1.357]eNPo7sHpVIcBe3dC/eTFQwvBOfr9LVP98jRy+oZIjRKLdzWTgdo/bqbFdDyO80UK[/tex]
- 求下列差分方程的解。[br][/br][tex=11.714x1.357]YVkbgnig+5eE75sLL3Q7wGuW9xZ1Vzu4n4lKth9jU/o=[/tex]
- 求下列差分方程的解。[br][/br][tex=20.429x1.357]nHBhQHaAaxK8g3lyu2Oqu6KPTra6MSSLpLyLrB91donyifjiXO3axjSfFJ07l78W[/tex]
- 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]
内容
- 0
求下列差分方程的解。[br][/br][tex=24.714x1.357]k616bZ3tU4eAdHTCLlLPd8EPoXQtG3f2ZMcpDEgPbmrNvgT2huW98cWWQxmnehlL48QFWLFyMfaC5EK88AxCuA==[/tex]
- 1
求下列差分方程的解。[br][/br][tex=22.929x1.357]k616bZ3tU4eAdHTCLlLPdy4bLKZ9WN9XFNeitB/jHQocbosPT+uNjgK6fm7k0TIfvUwm9CeQowFoiQhEai5ilw==[/tex]
- 2
求下列差分方程的解。[br][/br][tex=13.071x2.357]R61fKN0yDJ2wnvsNGWO7VlYXfzFGuGOk6RebgpLe2J/K8NhOq2lr0OfttuXO81Io[/tex]
- 3
求下列差分方程的解。[br][/br][tex=10.929x1.357]LAECOT5eOx+/OJmLfXMpQABT/qFHPpn0qWmyG70URyQ=[/tex]
- 4
求下列差分方程的解。[br][/br][tex=29.0x1.357]qGCSeafK/b2t28IEkpMmRcwdlyIVe/wZ7U2ByWjIaPmA9CP2hiIep4BkO1i61PiGrMehtdGQrSSVan9+7dzgqQ==[/tex].