Particular solution to the Euler-Cauchy equation with polynomial non-homegeneities
Adnan H. Sabuwala - Department of Mathematics, 5245 N. Backer Ave, M/S PB 108, Fresno, CA 93740-8001, United States (email) Abstract:
The Euler-Cauchy differential equation is one of the first, and simplest, forms of a higher order non-constant coefficient ordinary dierential equation that is encountered in an undergraduate differential equations course. For a non-homogeneous Euler-Cauchy equation, the particular solution is typically determined by either using the method of variation of parameters or transforming the equation to a constant-coefficient equation and applying the method of undetermined coefficients. This paper demonstrates the surprising form of the particular solution for the most general
Keywords: Euler-Cauchy, polynomial inhomogeneities, particular solution, non-
homogeneous
Received: July 2010; Revised: August 2010; Published: October 2011. |