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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)

x^{2}-2px+y^{2}-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!

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# A Need help with a differential equation

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