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Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X'''=0\) - MaRDI portal

Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X'''=0\) (Q1810779)

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Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X'''=0\)
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    Linearisable third-order ordinary differential equations and generalised sundman transformations: the case \(X'''=0\) (English)
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    9 June 2003
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    The authors calculate in detail conditions which allow the most general third-order ordinary differential equation to be linearised in \(X'''(T)=0\) under the transformation \(X(T)=F(x,t)\), \(dT=G(x,t)dt\).
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    nonlinear ordinary differential equations
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    linearisation
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    invertible transformations
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