A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution

Details A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution

2001-07-10

arxiv.org/abs/math-ph/0107007v1

Physics

Mathematical Physics

11 pages, latex

Scientific paper

10.1088/0305-4470/35/17/306

We present an algorithm to solve First Order Ordinary Differential Equations (FOODEs) extending the Prelle-Singer (PS) Method. The usual PS-approach miss many FOODEs presenting Liouvillian functions in the solution (LFOODEs). We point out why and propose an algorithm to solve a large class of these previously unsolved LFOODEs. Although our algorithm does not cover all the LFOODEs, it is an elegant extension mantaining the semi-decision nature of the usual PS-Method.

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