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

2. Relevant equations

you can see my answer in the picture.

3. The attempt at a solution

y*e^(-2t) = (-1/2)t*e^(-2t) + (-1/4)e^(-2t) + (1/3)e^(3t) + C

y = (-1/2)t + (-1/4) + (1/3)e^(5t) + C/(e^(-2t))

1/3 = 0 - 1/4 + 1/3 + C

C = 1/4 (i tried 1/4 and -1/4 in the answer box)

I've even checked my answer by taking the derivative. Where'd I make a simple mistake?

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# Simple Diff. Eq.

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