几类非线性常微分方程的可积类型

Several Integrable Types of Non-linear Ordinary Differential Equation

本文讨论了应用广泛的几类一阶、二阶非线性常微分方程的可积类型,并给出推广的Riccuti方程初等可积的条件.文[1]—[5]是本文所得结果的特例.

This paper deals with several widely used types of integrable non-linear ordinary differential equations of 1st or 2nd order and give the conditions of the generalized Riccati equation that has primany integrability. paraqraphes [ 1 ]-[ 5 ] are particular examples of the conclusion of the paper.