\begin{definition}[Definition:Homogeneous Differential Equation]
A '''homogeneous differential equation''' is a first order ordinary differential equation of the form:
:$\map M {x, y} + \map N {x, y} \dfrac {\d y} {\d x} = 0$
where both $M$ and $N$ are homogeneous functions of the same degree.
\end{definition}