Cauchy–Euler equation

Summary

A Cauchy–Euler equation is a linear equation $\sum_k a_k x^k y^{(k)} = 0$ with constant $a_k$, in which the $k$-th derivative has the factor $x^k$. It has solutions of the form $x^m$, and the change of variable $x = e^t$ gives constant coefficients. See the definition.