A formula substituting the undetermined coefficients and the annihilator methods

DOI10.1080/0020739X.2012.714496zbMATH Open1290.97014arXiv1110.4425WikidataQ56815212 ScholiaQ56815212MaRDI QIDQ4920322

Publication date: 16 May 2013

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1110.4425

zbMATH Keywords

ordinary differential equations linear differential equations linear equations and systems complex exponential function

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Functional equations (educational aspects) (97I70)

Cites Work

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