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arXiv · 2512.20656

General Solutions of the Second-Kind Abel Equation

Ji-Xiang Zhao
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Abstract

The general solutions with free variable to the second-kind Abel equation, a nonlinear ordinary differential equation that has remained unsolved for nearly two centuries, are presented for the first time by using elementary quadrature method.

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Ji-Xiang Zhao. 2025-12-18. General Solutions of the Second-Kind Abel Equation. https://arxiv.org/abs/2512.20656

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