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

.......find the inverse transform of the given function.

F(s)= (2s+2)/(s^{2}+4s+5)

2. Relevant equations

On another page, I see these 2:

f(t)=e^{at}sin(bt)--------->F(s)=b/[(s-a)^{2}+b^{2})

f(t)=e^{at}cos(bt)--------->F(s)=(s-a)/[(s-a)^{2}+b^{2})

3. The attempt at a solution

This is my first time doing anything with Laplace transforms.

I can change the denominator to (s+2)^{2}+ 1 and factor a -2 out of the numerator. Then it looks like the relevant equations.

-2((s-1/2)/((s+2)^{2}+1))

But I don't understand where to go from here. The -2, of course, is just a constant that can chill out front. Judging from the answer in the back of the book, I use a combination of both relevant equations. Explain the algebra involved here.

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# Homework Help: An inverse Laplace transform

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