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Math Help - Help please with this integration

  1. #1
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    Help please with this integration

    Hi I am having difficulty integrating the following differential equation, its for use in a runge kutta numerical analysis. I know how to perform the RK algorithm but I am struggling with possibly the easiest part which is the initial integration.

    x1 = dx/dt = xt

    and this is how far I have got;

    \int dx/x = \int t.dt

    lnx = t.t + c

    Can anyone correct me if i'm wrong so far and help me finish of the integration please.

    Much appreciated
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  2. #2
    MHF Contributor

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    That is wrong. the integral of t^n dt is t^{n+1}/(n+1). You forgot the "1/(n+1)".
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  3. #3
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    Ah that certainly makes more sense now. Thank you
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