Integrating first-order differential equations with Liouvillian solutions via quadratures: a semi-algorithmic method |
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| Affiliation: | 1. Fundação de Apoio à Escola Técnica, E.T.E. Juscelino Kubitschek, 21311-280 Rio de Janeiro-RJ, Brazil;2. Universidade do Estado do Rio de Janeiro, Instituto de Física, Departamento de Física Teórica, R. São Francisco Xavier, 524, Maracanã, CEP 20550-013, Rio de Janeiro, RJ, Brazil |
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| Abstract: | 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. |
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