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Integrating Factor Diff Eqs

  1. Feb 18, 2008 #1
    [SOLVED] Integrating Factor Diff Eqs

    1. The problem statement, all variables and given/known data

    g ' - g/t = t e^t

    I'm trying to solve this, but I seem to have run into a problem, according to my book the integrating factor is 1/t, however I believe that it is -t

    2. Relevant equations

    3. The attempt at a solution

    e^int(-1/t dt) = e^(-lnt) = -t
    That is how I found the solution to all the problems requiring an integrating factor before however this situation seems to be different... Do I have the equation in the right form to find the integrating factor?
  2. jcsd
  3. Feb 18, 2008 #2
    [tex]e^{-\ln t}=e^{\ln t^{-1}}=\frac{1}{t}[/tex]
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