- #1
jakejakejake
- 9
- 0
Use Laplace transfer to find the solution of the following initial value problem:
y''+4y'+4y=f(t)
where f(t) = cos(ωt) if 0<t<π and f(t)=0 if t>π ?
Also, y(0) = 0, y'(0) = 1
Currently, I have gotten to here, but not sure how to perform inverse Laplace:
(s+2)² * F(s) − 1 = [s/(s²+w²)] + e^(−πs) * [s/ (s²+ω²)]
y''+4y'+4y=f(t)
where f(t) = cos(ωt) if 0<t<π and f(t)=0 if t>π ?
Also, y(0) = 0, y'(0) = 1
Currently, I have gotten to here, but not sure how to perform inverse Laplace:
(s+2)² * F(s) − 1 = [s/(s²+w²)] + e^(−πs) * [s/ (s²+ω²)]
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