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Computer Algebra Solving of First Order ODEs Using Symmetry Methods

E. S. Cheb-Terrab·L. G. S. Duarte·L. A. C. P. da Mota
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Abstract

A set of Maple V R.3/4 computer algebra routines for the analytical solving of 1st. order ODEs, using Lie group symmetry methods, is presented. The set of commands includes a 1st. order ODE-solver and routines for, among other things: the explicit determination of the coefficients of the infinitesimal symmetry generator; the construction of the most general invariant 1st. order ODE under given symmetries; the determination of the canonical coordinates of the underlying invariant group; and the testing of the returned results.

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E. S. Cheb-Terrab, L. G. S. Duarte, L. A. C. P. da Mota. 1996-07-16. Computer Algebra Solving of First Order ODEs Using Symmetry Methods. https://doi.org/10.1016/s0010-4655(97)00018-0

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