I have no idea how to start this problem.
dN/dt + N = Nte^t+2
So far I have, dN/dt = Nte^t+2 - N
where do I go from there.
I provide a way to solve this kind of equations. But for this problem, the solution is very complicated and it includes an integral which I can't find a ...
The separation of variables for a sample problem are provided.