Question

Solve the separable differential equation. (Use C for any needed constant.)

du/dt = (1 + u)(7 + t)

Answer 1

`ln( |1 + u| ) = 7t + \frac{ {t}^(2) }{2} + c`

Explanation:

`integral( (1)/(1 + u) )du = \\ integral(7 + t)dt`

`ln( |1 + u| ) = 7t + \frac{ {t}^(2) }{2} + c`