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Math Help - Linear DE

  1. #1
    Member
    Joined
    Nov 2006
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    Linear DE

    hi

    i have to solve this

    \frac{dn}{dt} = f(t)n + g(t)

    i know the solution is

    n=e^{\mu(t)}(\int e^{-\mu(t)}g(t)dt + c)

    \mu(t) = \int f(t) dt

    how do i arrive at this solution? do i just separate variables, can someone start me of or solve this so i can understand it

    many thanks
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  2. #2
    Senior Member
    Joined
    Jul 2009
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    397
    Hi chogo

    That's not separation of variables, but integrating factor. Check here : http://www.mathhelpforum.com/math-he...-tutorial.html
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  3. #3
    Member
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    Nov 2006
    Posts
    136
    thanks i read up and understand
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