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Journal of Applied Mathematics
Volume 2013, Article ID 518194, 15 pages
Research Article

Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients

Department of Mathematics, University of Alicante, Carretera San Vicente del Raspeig s/n, 03690 San Vicente del Raspeig, Alicante, Spain

Received 7 May 2013; Accepted 17 July 2013

Academic Editor: Debasish Roy

Copyright © 2013 Juan F. Navarro and Antonio Pérez-Carrió. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The aim of this paper is to introduce a symbolic technique for the computation of the solution to a complete ordinary differential equation with constant coefficients. The symbolic solution is computed via the variation of parameters method and, thus, constructed over the exponential matrix of the linear system associated with the homogeneous equation. This matrix is also symbolically determined. The accuracy of the symbolic solution is tested by comparing it with the exact solution of a test problem.