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## Homework Statement

y''+6'+10y=0

y(0)=2

y'(0)=1

## Homework Equations

## The Attempt at a Solution

Laplace everything and I get

s^2*Y(s)-2s-1+6s*Y(s)-12+10Y(s)=0

isolate Y(s)

Y(s)=(2s+13)/(s^2+6s+10)

split into 2 terms, bottom can be rearranged by completing the square

2s/[(s+3)^2+1^1] + 13/[(s+3)^2+1^1]

inverse laplace

y(t)=2e^-3t*cost + 13e^-3t*sint

both wolfram and the answer key say the last term should be 7 instead of 13, but i don't see where I made a mistake