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arXiv · 2107.10759

Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs

Andrei D. Polyanin·Alexei I. Zhurov
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Abstract

This note considers fairly general quasi-homogeneous systems of first-order nonlinear ODEs and homogeneous systems of second-order nonlinear ODEs that contain arbitrary functions of several arguments. It presents several exact solutions to these systems in terms of elementary functions.

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Andrei D. Polyanin, Alexei I. Zhurov. 2021-07-22. Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs. https://arxiv.org/abs/2107.10759

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