Linearisable third order ordinary differential equations and generalised Sundman transformations

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We calculate in detail the conditions which allow the most general third order ordinary differential equation to be linearised in X'''(T)=0 under the transformation X(T)=F(x,t), dT=G(x,t)dt. Further generalisations are considered.
33 pages

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Exactly Solvable and Integrable Systems, Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/100010

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0203028
 http://arxiv.org/abs/nlin/0203028

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arXiv