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Implementation of the Prelle-Singer Method for 1ODEs

Numerical Analysis 2025-10-20 v1 Numerical Analysis Mathematical Physics math.MP
Authors: L. G. S. Duarte , S. E. S. Duarte , L. A. C. P. da Mota , J. E. F. Skea
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Abstract

A set of MapleV R5 software routines for solving first order ordinary differential equations (1ODEs) is presented. The package implements the Prelle-Singer Method in its original form plus its extension to include elementary functions (ELFs) on the integrating factor . The package also presents a theoretical extension to deal with all 1ODEs presenting liouvillian solutions (LIS).

Cite

@article{arxiv.math/0008110,
  title  = {Implementation of the Prelle-Singer Method for 1ODEs},
  author = {L. G. S. Duarte and S. E. S. Duarte and L. A. C. P. da Mota and J. E. F. Skea},
  journal= {arXiv preprint arXiv:math/0008110},
  year   = {2025}
}

Comments

19 pages (no figures), latex

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