复域上右端为有理分式的常微分方程的显易解结构

The explicit solution structure for differential equation which is rational fraction in right part of the complex number field

本文给出了复域内右端为有理分式的非线性常微分方程的某一类显易解结构的一般形式 。

This paper introduces the history of the differential equation development, its present situation and its trend of development. It gives the general form of the explicit solution structure for the nonlinear differential equation which is rational fraction in right part of the complex number field, and discuss the existence conditions of the explicit solution.