Riccati方程的几种可积类型及其通积分公式

A Series of Integrable Conditions of Riccati Equation and General Integral Fomula

用初等变量代换的方法,讨论了可用分离变量法求解的Riccati方程的几种形式,得到了Riccati方程四个新的可积性判据,并给出了这四种情况的通积分公式.

With the method of elementary variable substitution, the paper discusses some type of the Riccati equation that can be solved by separation of variables method. Four new integrable criterion of the Riccati equation and the corresponding general integral formula are obtained.