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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:182

Article

Avellar, J ; Duarte, LGS ; Duarte, SES ; da Mota, LACP

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

DOI  :  10.1016/j.cam.2004.12.014

来源: Elsevier

【 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.

【 授权许可】

Free