可用交换变量位置法求解的几类二阶非线性变系数微分方程类型  

On Several Types of Second-Order Non-linear Time-varying Differential Equation and Their Solutions by Method of Exchanging Locations of Variances

作　　者：汤光宋 刘勇祥 

机构地区：江汉大学数学系,湖北武汉4300190

出　　处：《邵阳高等专科学校学报》2000年第3期164-168,共5页Journal of Shaoyang College

摘　　要：用交换变量位置法，论证几类二阶非线性变系数微分方程的可积性，并给出其通解表达式，所获得的结论是对相应文献结果的推广。In this paper the summability of some kinds of second-order non-linear differential equation is proved by the method of exchanging locations of variances and the general solution expressions are introduced. The obtained conclusions might be represented themselves as disseminating and applying the achievements of the relevant references.

关 键 词：交换变量位置法 二阶非线性微分方程 通解 

分 类 号：O241.81[理学—计算数学]