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Linearisable third order ordinary differential equations and generalised Sundman transformations

N. Euler·T. Wolf·P. G. L. Leach·M. Euler
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Abstract

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.

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N. Euler, T. Wolf, P. G. L. Leach, M. Euler. 2002-03-14. Linearisable third order ordinary differential equations and generalised Sundman transformations. https://arxiv.org/abs/nlin/0203028

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