Ordinary Differential Equations through Dimensional Analysis

Details Ordinary Differential Equations through Dimensional Analysis Ordinary Differential Equations through Dimensional Analysis

2005-02-28

arxiv.org/abs/physics/0502154v1

Physics

Physics Education

Scientific paper

In in this paper we show how using D.A. it is found a simple change of variables (c.v.) that brings us to obtain differential equations simpler than the original one. In a pedagogical way (at least we try to do that) and in order to make see that each c.v. corresponds to an invariant solution (induced by a symmetry) or a particular solution, we compare (with all the tedious details, i.e. calculations) the proposed method with the Lie method. The method is checked even in ODEs that do not admit symmetries.

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