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An interesting ODE perhaps?

  1. Oct 8, 2005 #1


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    Very simple in writing, but hard to solve:
    [tex] x*\frac{dy}{dx}=(y^2-y x^2)/(y^2+x^2)[/tex]
  2. jcsd
  3. Oct 8, 2005 #2
    Maybe convert to polar coodinates? That x2+y2 wants to be r2. Maybe not though :smile:

  4. Oct 9, 2005 #3


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    I tend to look at it this way:


    but are unable to proceed. It's not exact, can't make it exact, and can't come up with any differentials by inspection.
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