Re: [理工] [工數]-ODE
※ 引述《a1133333 (阿傑)》之銘言:
: y''-4y'+4y=x^3e^2x + xe^2x
y''-4y'+4y=x^3e^2x + xe^2x
let yh=e^mx
m^2-4m+4=0,m=2,2
yh=c1e^2x+c2xe^2x
1
yp=--------(x^3+x)e^2x
(D-2)^2
1
=e^2x--------(x^3+x)
D^2
1 1
=e^2x(---x^3+ ---x^5)
6 20
y=yh+yp
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