Question

Solve the separable differential equation. (Use C for any needed constant.)
du/dt = (1 + u)(7 + t)

Answer 1

Answer:

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

Step-by-step explanation:

$integral( \frac{1}{1 + u} )du = \\ integral(7 + t)dt$

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