常微分方程的新的可积类型

New Integrable Types of Ordinary Differential Equations

研究Ｒｉｃａｔｉ方程及二阶变系数线性方程的可积性问题．得到了这些方程的新的可积类型．

The integrability problem of the Riccati equation and second order linear differential equations with varying coefficients are studied. Some new integrable types of these equations are obtained. Some examples show that almost all the known results on the same types of equations in references are the special cases of that in this paper.