Definition:Cauchy-Euler Equation

Definition
The second order ordinary differential equation:
 * $x^2 \dfrac {\mathrm d^2 y} {\mathrm d x^2} + p x \dfrac {\mathrm d y} {\mathrm d x} + q y = 0$

is the Cauchy-Euler equation.

Also known as
The Cauchy-Euler equation is also known as:
 * Euler's equation
 * The Euler-Cauchy equation
 * Euler's (or Cauchy's) equidimensional equation.

Also see

 * Conversion of Cauchy-Euler Equation to Linear Equation