Thread: First-order differential/seperable equation problem

How do I solve the following?: du/dt = 2 + 2u + t + tu

What I tried:
I multiplied both sides by dt but then I know I have to isolate u but how do I do that?

Any help would be greatly appreciated!
Thanks in advance!

so your equation is separable.

Thanks!

Edit: Just something I want to confirm; the book says Ae^(2t + t^2 /2) - 1 where A = e^c

but e^c - 1 is still a constant so I called it K. So is it acceptable to say (instead of what the book says) u = K*e^(2t + t^2 /2) ?