A Maple package to find first order differential invariants of 2ODEs via a Darboux approach

Abstract
Here we present an implementation of a semi-algorithm to find elementary first order differential invariants (elementary first integrals) of a class of rational second order ordinary differential equations (rational 2ODEs). The algorithm was developed in Duarte and da Mota (2009) [18]; it is based on a Darboux-type procedure, and it is an attempt to construct an analog (generalization) of the method built by Prelle and Singer (1983) [6] for rational first order ordinary differential equatio...

Title of program: FiOrDi
Catalogue Id: AEQL_v1_0

Nature of problem
Determination of first order differential invariants for rational second order ordinary differential equations.

Versions of this program held in the CPC repository in Mendeley Data
AEQL_v1_0; FiOrDi; 10.1016/j.cpc.2013.08.014
AEQL_v2_0; FiOrDi; 10.1016/j.cpc.2015.04.028

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)