Thread: homogeneous ODE

xdy/dx = y + root(x^2 + y^2)

I can't solve this because of the square root..i've tried so many times and I know it's suppose to turn into a homogeneous DE but i just can't change it into the homogeneous DE because the square root is putting me off

Originally Posted by CookieC

xdy/dx = y + root(x^2 + y^2)

I can't solve this because of the square root..i've tried so many times and I know it's suppose to turn into a homogeneous DE but i just can't change it into the homogeneous DE because the square root is putting me off

Divide both sides by x (the stuff inside the square root therefore gets divided by x^2).

Of related interest: http://www.mathhelpforum.com/math-he...on-155779.html