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## Homework Statement

y is a function of t

## Homework Equations

y'+ky(e^-t)=l(e^-3t)

## The Attempt at a Solution

Considering that the equation is of the form dy/dt + p(t)y =q(t) , I have been looking for an integrating factor of the form: e^{integral[p(t)dt]}, where p(t) = ke^(-t)

If I calculated correctly, the integrating factor I found is (-t).

Multiplying both sides of the original equation just brought me to a new full stop.

Thank you very much for any guidance and correction.