Source: wikibot/cauchy-euler-operator
= Cauchy–Euler operator
{wiki=Cauchy–Euler_operator}
The Cauchy–Euler operator, also known as the Cauchy–Euler differential operator, refers to a specific type of differential operator that is commonly used in the analysis of differential equations of the form: \\\[ a x^n \\frac\{d^n y\}\{dx^n\} + a x^\{n-1\} \\frac\{d^\{n-1\} y\}\{dx^\{n-1\}\} + \\cdots + a_1 x \\frac\{dy\}\{dx