# Homogenous Differntial Equation

• February 14th 2011, 10:25 AM
DerekZ10
Homogenous Differntial Equation
This problem has me and a few others stuck. Any help would be greatly appreciated.

Solve as a homogeneous differential equation:

$dy/dx = (x2 +y^2)/(2xy)$

The answer to the problem is $(x)/(x^2 - y^2) = C$

We basically don't know the process to get the answer. Thank you in advance!
• February 14th 2011, 10:33 AM
FernandoRevilla
Use the substitution $y=vx$ .

Fernando Revilla