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

Question

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

in progress 0
Thu Hương 4 years 2021-08-15T08:46:38+00:00 1 Answers 5 views 0

Answers ( )

  1. bonexptip
    0
    2021-08-15T08:48:10+00:00
    Reply

    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

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )