摘要
给出了一类非线性常微分方程的可积充分条件，它至少概括了一阶线性方程、Bernoulli方程等一些古典的可积类型，由它可导出Riccati方程和二阶线性方程的一系列新的、实用的可积性结果和可积类型。纠正了前人某些结果的错误。
An integrable sufficient condition of a solt of nonlinear differential equations is proposed in this paper, which generalizes at least some classical integrable typpes, such as first - order linear equation. Bemoulli equahon. From it deriver a series of netw practical integrable resuls and types of foccati equation and second - order linear equation. Moreover, some mistakes in other re-searchers' results are pointed out and corrected.
