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

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

User Simon Jacobs
by
8.3k points

1 Answer

5 votes

Answer:


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

User Amiran
by
8.0k points
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