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## Homework Statement

I have got the diff equ problem solved out to

y(t)=Ce^-t*cos4t+Ce^-t*sin4t

## Homework Equations

now I have to solve for the IVP and the values are y(0)=1, yprime(0)=-1

## The Attempt at a Solution

I believe for the first part I just plug in the y(0)=1 which results in the e^-t dropping out

coming out to be C=1 but I am not 100% on it.

Then I am assuming I take the derivative and solve for the next value.

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