Hi, can someone please help me with the following differential equation? I need to find the general solution.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

x\frac{{dy}}{{dx}} = x^2 - y^2

[/tex]

It's non-linear so I didn't bother with rearranging the equation. It doesn't look seperable either so that doesn't really leave me with much to go on with the knowledge that I have. Since the basic techniques were not applicable I tried differentiating both sides wrtx and other things like that to see if I could get the equation into a form which is easier to work with. That didn't get me anywhere so could someone help me out?

There might be something simple that I'm missing, after all it took me a few days to remember that y' = (y)^2 is solvable by separation of variables () so even a small suggestion would be helpful.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: ODE non-linear

**Physics Forums | Science Articles, Homework Help, Discussion**