Re: [理工] [工數]-ODE
※ 引述《fonlintw0621 (fonlintw0621)》之銘言:
: 2
: y'''' + 16 y = t + 1
let yh = e^mt
m^4 + 16 = 0
m^4 + 8m^2 + 16 - 8m^2 = 0
(m^2 + 4 )^2 - 8m^2 = 0
(m^2 + 根號8 + 4 )(m^2 - 根號8 + 4 ) = 0
m = 根號2 +- 根號2i , -根號2 +- 根號2i
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