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Seperable Equation, Differential Equations, Can't Seperate

  1. Sep 3, 2008 #1
    1. The problem statement, all variables and given/known data


    dy/dt - 2ty = 9(t^2)e^(t^2)


    Find y(t) that satisfies this equation for y(0)=1.

    2. Relevant equations



    3. The attempt at a solution

    I added 2ty, multiplied by dt, but after that, I cannot seperate y and t. Any help? Thank you for looking.
     
  2. jcsd
  3. Sep 3, 2008 #2

    rock.freak667

    User Avatar
    Homework Helper

    With an equation like that, you need to multiply by an integrating factor. Check here for more information on it.
     
  4. Sep 3, 2008 #3
    I solved it, thank you. I had worked 4 equations that were set up to be seperable before that one, so I didn't think to try an integrating factor. Thanks for the help.
     
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