An interesting ODE perhaps?

  1. 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. Maybe convert to polar coodinates? That x2+y2 wants to be r2. Maybe not though :smile:

    Alex
     
  4. saltydog

    saltydog 1,593
    Science Advisor
    Homework Helper

    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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