I am not too familiar with differential equations but am familiar with basic calculus, I came across this equation trying to describe a particular function:(adsbygoogle = window.adsbygoogle || []).push({});

dy/dx =((sqrt((y-x)^2+y^2)-abs(y))/(y-x))*abs(y)/y

Anyway I tried to separate the variables unsuccessfully and using v(x)=y(x)/x with no success, I really tried and couldn't solve it, so some insight would be appreciated. I tried restricting y to be positive, still without a breakthrough. Sorry if it's confusing, can't figure out the math format.

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

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

# Solution to nonlinear ODE with radicals

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