Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

An interesting ODE perhaps?

  1. Oct 8, 2005 #1


    User Avatar

    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


    User Avatar
    Science Advisor
    Homework Helper

    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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - interesting perhaps Date
Compounding interest formula going awry Oct 1, 2012
Very interesting problem Aug 17, 2010
Interesting problem Apr 11, 2008
Unstable fixed point.help me U may find interesting Jul 21, 2006
An interesting PDE perhaps? Oct 4, 2005