A General Method of Deriving the Auxiliary Equation for Cauchy-Euler Equations
Author(s): Vedula N. Murty and James F. McCrory
The College Mathematics Journal, Vol. 16, No. 3 (Jun., 1985), pp. 212-215.
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/2686575
Tags: Higher-order equations and linear systems
Abstract: This paper is used to describe a simple way to determine the auxiliary equation of a Cauchy-Euler rather than the normal "time-consuming and laborious" method normally used. They propose using Stirling Numbers of the first kind to define a lower triangular matrix and then easily form the auxiliary equation from that. This method saves considerable time for any equation that has a $n$th degree greater than four. Thomas W. Griffin, Stephen F. Austin State University, May 3, 2017.