一类常微分方程的参数解

Parametric Solution of Ordinary Differential Equation of the First Kind

本文给出了常微分方程一个新的、实用的普遍可积类，其通解可根据判别式的符号由参数形式给出。一阶线性方程、Benoulle方程是本文结果的特例。将此结果用于研究著名的Riccati方程，得到了一系列新的实用的可积性结果。

：This paper is concerned with the general integrability of a new and practical kind of ordinary differential equation, general solution of which is come out with its pqrameter solution according to the delimiter of its criterion. Its conclusion: the first order linear differential equation and Bernoulli differential equation are particular types of this kind in which new and practical integrability of the famous Riccatti differential equation has been worked out.