A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution
数学物理
2009-11-07 v1 math.MP
摘要
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.
引用
@article{arxiv.math-ph/0107007,
title = {A Method to Tackle First Order Differential Equations with Liouvillian Functions in the Solution},
author = {L. G. S. Duarte and S. E. S. Duarte and L. A. C. P. da Mota},
journal= {arXiv preprint arXiv:math-ph/0107007},
year = {2009}
}
备注
11 pages, latex