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Math Help - problem in solving a first order for some physics application

  1. #1
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    problem in solving a first order for some physics application

    Hello everyone.

    I wish to get the solution to the following:

    x'(t) = [A*exp(B*t)-C]^(m)

    I can get the plotted solution by Matlab, but I wish to find the analytic solution by myself.
    Does anyone has some hints to help me in this?

    Thanks a lot for your help

    /Crevoise
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  2. #2
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    Re: problem in solving a first order for some physics application

    Quote Originally Posted by crevoise View Post
    Hello everyone.

    I wish to get the solution to the following:

    x'(t) = [A*exp(B*t)-C]^(m)

    I can get the plotted solution by Matlab, but I wish to find the analytic solution by myself.
    Does anyone has some hints to help me in this?

    Thanks a lot for your help

    /Crevoise
    integral[(A*Exp[B*x] - C)^m] - Wolfram|Alpha

    If you don't know anything about the Hypergeometric function, then there's not much more you can do...
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  3. #3
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    Re: problem in solving a first order for some physics application

    Thanks a lot!
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