Linearisable third order ordinary differential equations and generalised Sundman transformations
N. Euler, T. Wolf, P. G. L. Leach, M. Euler
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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