lamr2224 lamr2224
  • 27-06-2021
  • Mathematics
contestada

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

Respuesta :

AliceBrainly21
AliceBrainly21 AliceBrainly21
  • 27-06-2021

Answer:

[tex]ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c[/tex]

Step-by-step explanation:

[tex]integral( \frac{1}{1 + u} )du = \\ integral(7 + t)dt[/tex]

[tex] ln( |1 + u| ) = 7t + \frac{ {t}^{2} }{2} + c[/tex]

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