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

solve the following initial value problem using Laplace transforms

y"+2y'+y=(8/3)cos(2t)-2sin(2t)

y(0)=1

y'(0)=7/3

2. Relevant equations

L[d^2y/dt^2]=s^2Y-sy(0)-y'(0)

L[dy/dt]=sY-y(0)

L[coswt]=s/(s^2+w^2)

L[sinwt]=w/(s^2+w^2)

3. The attempt at a solution

so far: Y={s^3+(13/3)s^2+(20/3)s+(40/3)}/{(s^2+4)(s^2+2s+1)}

need help turning denominator into partial fraction.

Thanks!

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# Laplace transform w/ partial fraction

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