Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients
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 l...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/518194 |
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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |