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Group Classification of a family of second-order differential equations

Analysis of PDEs 2009-02-16 v1 Classical Analysis and ODEs

Abstract

We find the group of equivalence transformations for equations of the form y=A(x)y+F(y),y''= A(x)y' + F(y), where AA and FF 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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Cite

@article{arxiv.0902.2390,
  title  = {Group Classification of a family of second-order differential equations},
  author = {J. C. Ndogmo},
  journal= {arXiv preprint arXiv:0902.2390},
  year   = {2009}
}

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13 pages