A homogeneous differential equation of the form \(\frac{dy}{dx}=h\left(\frac{x}{y}\right)\) can be solved by making the substitution

\(y=vx\) \(v=yx\) \(x=vy\) \(x=v\)

\(x=vy\)

Recall the definition of homogenous differential equation and now it can be solved