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Generalized damped Milne-Pinney equation and Chiellini method

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arxiv 1603.08747 v2 pith:IBGDNECA submitted 2016-03-29 nlin.SI

Supriya Mukherjee , A. Ghose Choudhury , Partha Guha This is my paper · ORCID
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We adopt the Chiellini integrability method to find the solutions of various generalizations of the damped Milne-Pinney equations. In particular, we find the solution of the damped Ermakov-Painlev\'e II equation and generalized dissipative Milne-Pinney equation.

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  1. On the integrability of the Abel and of the extended Li\'{e}nard equations

    math.CA 2019-08 conditional novelty 4.0 of 10

    Conditional closed-form solutions for extended Liénard equations are obtained via Abel reduction and Chiellini-type conditions, with one theorem containing a mathematical error.

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