Group Classification of a family of second-order differential equations

J. C. Ndogmo

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arXiv · 0902.2390

Group Classification of a family of second-order differential equations

J. C. Ndogmo

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Abstract

We find the group of equivalence transformations for equations of the form $y''= A(x)y' + F(y),$ where $A$ and $F$ are arbitrary functions. We then give a complete group classification of these families of equations, using a direct method of analysis, together with the equivalence transformations.

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J. C. Ndogmo. 2009-02-13. Group Classification of a family of second-order differential equations. https://arxiv.org/abs/0902.2390

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