Re: [理工] [工數][拉式]
令L[y(t)]=Y(s)
原式取拉式轉換
s^2Y(s)-sy(0)-y'(0)-4[sY(s)-y(0)]+4Y(s)=6/(s-1)^3 +2/s-1
代I.C. ___________________
可整理得
Y(S)(s^2-4s+4)-20s-34+80=__________________________________
移項得Y(S)(s^2-4s+4)=-46+20s+ 6/(s-1)^3+2/s-1
可整理得Y(S)=20/s-1+12/(s-1)^2+6/(s-1)^3+2/(s-2)^2
L^-1[Y(S)]=(20+12t+3t^2)e^t +2te^2t
加油
※ 引述《asdf322505 ()》之銘言：
: y''-4y'+4y=(3t^2+2)e^t ,y(0)=20 ,y'(0)=34
: ans:y(t)=2te^2t+(3t^2+12t+20)e^t
: 誰能交我這題
: 我算好久了@@
: 能寫過程嗎?
: 麻煩各位大大的幫忙
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