PSsolver: A Maple implementation to solve first order ordinary differential equations with Liouvillian solutions

Published: 1 October 2012| Version 1 | DOI: 10.17632/2d6jvn3tfd.1
J. Avellar, L.G.S. Duarte, L.A.C.P. da Mota


Abstract We present a set of software routines in Maple 14 for solving first order ordinary differential equations (FOODEs). The package implements the Prelle–Singer method in its original form together with its extension to include integrating factors in terms of elementary functions. The package also presents a theoretical extension to deal with all FOODEs presenting Liouvillian solutions. Applications to ODEs taken from standard references show that it solves ODEs which remain unsolved using Maple’... Title of program: PSsolver Catalogue Id: ADPR_v2_0 Nature of problem Symbolic solution of first order differential equations via the Prelle-Singer method. Versions of this program held in the CPC repository in Mendeley Data ADPR_v1_0; PSsolver; 10.1016/S0010-4655(01)00462-3 ADPR_v2_0; PSsolver; 10.1016/j.cpc.2012.04.012 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computational Method