(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve by Laplace transforms the following

y'' + y = t when 0</=t<1, and = 1 if t>/=1

2. Relevant equations

L{y''} + L{y} = L{f(t)}

3. The attempt at a solution

By Laplace transforms I get

L{f(t)} = (1 - e^-s) / s^2

and

Y(s) = (1-e^-2 + s^2) / s^2 (s^2 +1)

But I cannot simplify Y(s) in order to get y = L^-1{Y(s)}!!!

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# Homework Help: Laplace transform question

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