Group Classification of a family of second-order differential equations

Details Group Classification of a family of second-order differential equations Group Classification of a family of second-order differential equations

2009-02-13

arxiv.org/abs/0902.2390v1

Mathematics

Analysis of PDEs

13 pages

Scientific paper

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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