三类可降阶的三阶非线性微分方程  

Three Types of Third Reduced-order Non-linear Differential Equation

作　　者：李录苹[1] 贾艳萍[1] 

机构地区：[1]山西大同大学数学与计算机科学学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2016年第6期1-2,共2页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：应用变量替换方法,将三类三阶变系数非线性微分方程转换为可以降阶的类型,从而求得通解。This paper transforms three types of third non-linear differential equation with varied coefficient into the ones that can be reduced using the method of variable substitution,then the general solution could be found.

关 键 词：微分方程 变量替换 降阶 通解 

分 类 号：O175.1[理学—数学]