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Math Help - Using Mathematica to Solve a Complicated Initial Value Problem

  1. #1
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    Using Mathematica to Solve a Complicated Initial Value Problem

    Hi All,

    So I've encountered a monster of an initial value problem that I've been trying to solve with Dsolve in Mathematica, with not much success .

    Here is what the IVP looks like:

    \frac{d}{du}((-G^3 \frac{dG}{du})^\frac{1}{m+2}) - \frac{d}{du}(uG) + (\frac{m+2}{m-2})(\frac{1}{\alpha}- \frac{5}{m+2})G

    With the following extra information(initial conditions) :

    G(0) = 1

    and

    (-\frac{dG(0)}{du})^\frac{1}{m+2} = (\frac{m+2}{m-2})(\frac{1}{\alpha} - \frac{5}{m+2}) \int_{0}^{\lambda} G(u)~du

    I've also attached my attempt to this post - AshProblem.pdf. Unfortunately, I wasn't able to upload a .nb file.

    Any help/guidance would be greatly appreciated.

    Thanks
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