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

y' - 3y = 13cos(2t)

y(0)=1

2. Relevant equations

y' = sY(s) - y(0)

3. The attempt at a solution

heres all my work.. i am confused as to why its not matching book solution.. i think (geussing) that I probably messing up the decomposition step..thanks for any help with this

https://docs.google.com/open?id=0BwJqUg33PgREVjdEN250WXVTaldod3NublhVc1pEdw

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

sorry almost forgot to include this..book solution is:

y(t) = 4e^3t - 3cos(2t) + 2sin(2t)

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# Homework Help: Using laplace transforms to solve IVPplease check work thanks

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