Solve the differentiable equation if possible:

[limpid pilot]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with: ```diff
   +close

[obtuse briar]

we will subtract y from both sides

y' - y = t

e^(-t) y' - e^(-t) y = e^(-t) t

substitute -e^(-t) = e^(-t)'

e^(-t) + (e^(-t))'y' = e^-t t

apply inverse product rule

e^(-t) y = e^(-t) t

Integrate both sides

int (e^(-t) y)' = int e^(-t) dt

evaluate e^(-t) y = e^(-t) -(t+1) + c_1

divide both sides by e^(-t)

y = -(t+1) + c_1e^t

+close