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Problem solving a separable differential equation for u

  1. Sep 17, 2013 #1
    1. The problem statement, all variables and given/known data
    Solve the separable differential equation for u

    du/dt=e^(5u+2t)

    Use the following initial condition: u(0)=13

    3. The attempt at a solution

    Honestly I didn't get very far on this one. I took the natural log of both sides,

    ln du/dt = 5u+2t

    And now I am stuck. Should I divide both sides first by our e^(5u+2t) instead of taking the ln?
     
    Last edited by a moderator: Sep 18, 2013
  2. jcsd
  3. Sep 18, 2013 #2

    Mark44

    Staff: Mentor

    Hint: Use the laws of exponents to split e5u + 2t.
     
  4. Sep 18, 2013 #3
    Damn it...

    Thank you, its been a long night.
     
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