# Math Help - homogeneous ODE

1. ## 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

2. 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).

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