An Alternative Method for the Undetermined Coefficients and the Annihilator Methods
Classical Analysis and ODEs
2022-02-15 v3
Abstract
This paper exhibits a very simple formula for a particular solution of a linear ordinary differential equation with constant real coefficients, P(d/dt)x = f, f a function given by a linear combination of polynomials, trigonometrical and exponential real functions products. This is done by solving lower triangular linear systems with constant coefficients. Two examples are given.
Cite
@article{arxiv.1110.4425,
title = {An Alternative Method for the Undetermined Coefficients and the Annihilator Methods},
author = {Oswaldo Rio Branco de Oliveira},
journal= {arXiv preprint arXiv:1110.4425},
year = {2022}
}
Comments
7 pages; 2 examples; corrected typos; added references