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Laplace Transform

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Use Laplace transforms to compute the solution to the given differential equation. Please look at the attachment for further details.

Use Laplace transforms to compute the solution to the differential equation given below.
(d^2 y(t))/(dt^2 )+6 dt/dt+8y=u(t) where y(0)=0;y ̇(0)=1
Compute the inverse Laplace transform of:
X(s)= 3s2+2s+1
___________
s3+5s2+8s+4

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