A simple approach to the particular solution of constant coefficient ordinary differential equations

Manuel D. Ortigueira

Applied Mathematics and Computation, 2014, vol. 232, issue C, 254-260

Abstract: An eigenfunction approach to compute the particular solution of constant coefficient ordinary differential equations is presented. It is shown that the exponentials are the eigenfunctions of such equations. Solutions corresponding to products of powers and exponentials are obtained. The singular case is studied and a fast algorithm for its implementation is presented.

Keywords: Ordinary differential equations; Constant coefficient; Particular solution; Eigenfunction; Transfer function (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:254-260

DOI: 10.1016/j.amc.2014.01.036

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