PSsolver: A Maple implementation to solve first order ordinary differential equations with Liouvillian solutions. 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’s standard ODE solution routines.

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  1. Chèze, Guillaume; Combot, Thierry: Symbolic computations of first integrals for polynomial vector fields (2020)