Integrating first-order differential equations with Liouvillian solutions via quadratures: a semi-algorithmic method

被引：9

作者：

Avellar, J

Duarte, LGS

Duarte, SES

da Mota, LACP

机构：

[1] Univ Estado Rio De Janeiro, Inst Fis, Dept Fis Teor, BR-20550013 Rio De Janeiro, RJ, Brazil

[2] ETE Juscelino Kubitschek, Fundacao Apoio & Escola Tecn, BR-21311280 Rio De Janeiro, RJ, Brazil

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 182卷 / 02期

关键词：

integrating factor; Liouvillian functions; integrability by quadratures; first-order ordinary differential equations;

D O I：

10.1016/j.cam.2004.12.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we present a semi-algorithmic method to deal with rational first-order ordinary differential equations, with Liouvillian solutions. This method is based on the knowledge of the general structure for the integrating factor for such equations. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：327 / 332

页数：6

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[2]

Christopher C., 2000, ANN DIFFERENTIAL EQU, V14, P5

[3]

DAVENPORT J, 1993, COMPUTER ALGEBRA SYS

[4] Analysing the structure of the integrating factors for first-order ordinary differential equations with Liouvillian functions in the solution [J].