Computer Algebra Solving of Second Order ODEs Using Symmetry Methods

An update of the ODEtools Maple package, for the analytical solving of 1 and 2 order ODEs using Lie group symmetry methods, is presented. The set of routines includes an ODE-solver and user-level commands realizing most of the relevant steps of the symmetry scheme. The package also includes commands for testing the returned results, and for classifying 1 and 2 order ODEs. (Accepted for publication in Computer Physics Communications) Symbolic Computation Group, Departamento de F sica Te orica, IF-UERJ. Available as http://dft.if.uerj.br/preprint/e7-1.tex