Definition:Homogeneous Differential Equation

Definition
A homogeneous differential equation is a first order ordinary differential equation of the form:
 * $M \left({x, y}\right) + N \left({x, y}\right) \dfrac {dy} {dx} = 0$

where both $M$ and $N$ are homogeneous functions of the same degree.

Also see

 * Solution to Homogeneous Differential Equation