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

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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.

论文关键词：Integrating factor,Liouvillian functions,Integrability by quadratures,First-order ordinary differential equations

论文评审过程：Received 19 October 2004, Revised 10 December 2004, Available online 20 January 2005.

论文官网地址：https://doi.org/10.1016/j.cam.2004.12.014