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First integrals for equations with non-linearities of the Emden-Fowler type
Journal article   Peer reviewed

First integrals for equations with non-linearities of the Emden-Fowler type

William F. Trench and Leon Y. Bahar
International journal of non-linear mechanics, v 22(3), pp 217-226
1987

Abstract

An ad hoc procedure is given for obtaining first integrals of second order differential equations in which the non-linear term is a power of the dependent variable, as in the Emden-Fowler equation. The main theorem is a considerable extension of previous results along these lines. A corollary implies several known examples.

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Mechanics
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