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An interesting ODE perhaps?

  1. Oct 8, 2005 #1

    gvk

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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]
    :tongue2:
     
  2. jcsd
  3. Oct 8, 2005 #2
    Maybe convert to polar coodinates? That x2+y2 wants to be r2. Maybe not though :smile:

    Alex
     
  4. Oct 9, 2005 #3

    saltydog

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    I tend to look at it this way:

    [tex](y^2-yx^2)dx-(xy^2+x^3)dy=0[/tex]

    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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