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  • Aug 16, 2009, 01:50 AM
    OBEYDUR RAHMAN
    Integrating factor
    Hi
    Would you help me to tell about integrating factor
  • Aug 16, 2009, 05:19 AM
    galactus
    Post a specific problem and we can show you.

    Also, you can Google it and find plenty.

    But here is an explanation:

    Sometimes we can't separate variables, so we can use the integrating factor that Euler developed.

    A first-order DE is called linear if we can write it as ... [1]

    Where p(x) and q(x) may be constants.

    We can make the observation that if we define by , then



    Therefore:

    ... [2]

    If we multiply [1] through by , and then simplify using [2], we get:





    This can be solved by integrating both sides to get:



    There ya' go. A general explanation. If you want a specific example, please post a problem you are having trouble with and I can try to guide you through it. Okey-doke?
    It's not as bad as it looks.

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