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

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摘要

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.

论文关键词:Ordinary differential equations,Constant coefficient,Particular solution,Eigenfunction,Transfer function

论文评审过程:Available online 7 February 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.01.036