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## Homework Statement

Compute the general solution of y'' + 6y' + 8y = 2t + e

^{t}

## Homework Equations

## The Attempt at a Solution

after using determinants, I found the general solution to be y(t) = k

_{1}e

^{-2}+ k

_{2}e

^{-4}+ y

_{p}

To find y

_{p}, I would make it equal to y

_{p}= ae

^{t}find its first and second derivates, and substitute them back into y'' + 6y' + 8y , but what do I do about the 2t?