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Conditional Linearizability Criteria for Third Order Ordinary Differential Equations

Conditional Linearizability Criteria for Third Order Ordinary Differential Equations

We provide linearizability criteria for a class of systems of third-order ordinary differential equations (ODEs) that is cubically semi-linear in the first derivative, by differentiating a system of second-order quadratically semi-linear ODEs and using the original system to replace the second derivative.The procedure developed splits into two cases, those where …