Re: [理工] [工數] 一題ODE
先把外力TAKE LAPLACE
L[3e^-t]=3/s+1
L[3e^-t H(t-2)]=3(e^-2)e^-2s/s+1
原式take laplace
(s+4)y(S)=3(e^-2s)(e^-2)/s+1
y(S)=[3(e^-2)/(s+1)(s+4)]e^-2s
y(s)=e^-2[1/s+1 + -1/s+4]e^-2s
-1
L [y(s)]=e^-2 [e^-(t-2) -e^-4(t-2)]H(t-2)=y(t)
※ 引述《Ilove17 (小卡)》之銘言：
: (i) Solve
: dy
: ---- +4y =3H(t-2)e^(-t) , y(0)=0,
: dt
: Where H(x) is the unit step function.
: 想請問一下這題的詳解
: 謝謝
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