Definition:Cauchy-Euler Equation/General Form

Definition
Let $n \in \Z_{>0}$ be a strictly positive integer.

The ordinary differential equation:


 * $a_n x^n y^{\left({n}\right)} \left({x}\right) + \cdots + a_1 x y' \left({x}\right) + a_0 y \left({x}\right) = 0$

is the $n$th order Cauchy-Euler equation.