Math Separation Of Variables Sample Problem

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.

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...ementary function to represent.
<br>Please see the attachment.

First, let's consider the equation . Or .
For this form of equation, we can multiply ...