General Solutions of the Second-Kind Abel Equation
General Mathematics
2026-01-22 v3
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.
Cite
@article{arxiv.2512.20656,
title = {General Solutions of the Second-Kind Abel Equation},
author = {Ji-Xiang Zhao},
journal= {arXiv preprint arXiv:2512.20656},
year = {2026}
}
Comments
In both v1 and v2, Theorem 1 is incorrect, so I have decided to withdraw this article