If the right side of the equation dy/dx = f(x,y) can be expressed as a function of the ratio y/x only, then the equation is said to be homogeneous.

(1) $\displaystyle \frac{dy}{dx} = \frac{x^2+xy+y^2}{x^2}$

$\displaystyle \frac{dy}{dx} = 1 + \frac{y}{x} + \frac{y^2}{x^2}$

That one was easy.

(2) $\displaystyle \frac{dy}{dx} = \frac{4y-3x}{2x-y}$

How do I show that this is homogeneous? I know there is a simple way, but I can't remember for the life of me. Thanks!