Linearizability Criteria for a Class of Third Order Semi-Linear ODEs

Mathematics – Classical Analysis and ODEs

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Presented at the Euler Tercentenary Workshop at Centre for Differential Equations, Continuum Mechanics and Applications of the

Scientific paper

Using geometric methods for linearizing systems of second order cubically semi-linear ordinary differential equations, we extend to the third order by differentiating the second order equation. This yields criteria for linearizability of a class of third order semi-linear ordinary differential equations, which is distinct from the classes available in the literature. Some examples are given and discussed.

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