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

Solve the Initial value problem using Laplace transform

[itex]\ddot{y}[/itex] +2y = 0, y_{0}= C_{1}, [itex]\dot{y}[/itex] = C_{2}

2. Relevant equations

[s^{2}- sy(0) - y'(0)] + a[sY - y(0)] + bY

3. The attempt at a solution

s^{2}Y - sy(0) - y'(0) + 2y = 0

s^{2}Y + 2Y = sy(0) + y'(0)

(s^{2}+ 2)Y = s(C_{1}) + (C_{2})

Y = (s(C_{1}))/[s^{2}+ 2] + (C_{2})/[s^{2}+ 2]

And that is as far as I can get as I am unsure what to do now?

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# Homework Help: Solving an Initial value problem using Laplace transform

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