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## Homework Statement

y' + 3y = t + exp(2t)

## Homework Equations

## The Attempt at a Solution

My solution is y = t/3 + exp(-2t) -1/9 + c. The solution in the back of the book is y = cexp(-3t) + (t/3) - (1/9) + exp(-2t). How come the two solutions differ so vastly? I followed the procedure outlined in the textbook precisely.

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