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A Need help with a differential equation

  1. Oct 9, 2016 #1
    Hi all,

    I have derived a differential equation, which I don't know how to solve. I can do some numerical simulations, but would really be interested in, at least, knowing if an analytical solution exists, so would appreciate any help with it: (I have removed argument from y)

    x2-2px+y2-2(y-p)y'y=0

    Usually I just solve equations with mathematica, but it cannot tackle this one, though it doesn't look too bad...

    Thanks!
     
  2. jcsd
  3. Oct 9, 2016 #2

    mfb

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    2016 Award

    Staff: Mentor

    The part without explitic x-dependence leads to the product log function (WolframAlpha), I don't see an obvious way to take the other part into account.
     
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