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arxiv: nlin/0203028 · v1 · submitted 2002-03-14 · 🌊 nlin.SI · math.CA

Linearisable third order ordinary differential equations and generalised Sundman transformations

classification 🌊 nlin.SI math.CA
keywords differentialorderordinarythirdallowcalculateconditionsconsidered
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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.

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