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.

Sources

• George F. Simmons: Differential Equations (1972): $\S 7$