Tang Guangsong. SOLUTION TO SOME INTEGRABLE NONLINEAR DIFFERENTIAL EQUATIONS AND TWO - DIMENSIONAL VARIABLE COEFFICIENT LINEAR DIFFERENTIAL SYSTEM. [J]. Journal of University of Jinan(Social Science Edition) (3):52-56(1996)
Tang Guangsong. SOLUTION TO SOME INTEGRABLE NONLINEAR DIFFERENTIAL EQUATIONS AND TWO - DIMENSIONAL VARIABLE COEFFICIENT LINEAR DIFFERENTIAL SYSTEM. [J]. Journal of University of Jinan(Social Science Edition) (3):52-56(1996)DOI:
SOLUTION TO SOME INTEGRABLE NONLINEAR DIFFERENTIAL EQUATIONS AND TWO - DIMENSIONAL VARIABLE COEFFICIENT LINEAR DIFFERENTIAL SYSTEM
摘要
本文借助文[1]、[4]的重要结论
采用[2]、[3]、[4]的有关技巧和作变量替换的方法
给出了几类可积的非线性常微分方程及二维变系数线性微分系统
并给出了求解的方法及通积分的表达式。
Abstract
This paper presents solution to some integrable nonlinear differential Equations and two - dimensional variable coefficient linear differential system by means of the main conclusions of Text Ⅰ and Text Ⅳ
and relative techniques of Text Ⅱ
Text Ⅲ and Text Ⅳ
and also the method of variable substitution. Moreover
it gives the method of seeking solution and the expression of reduction of integral to common denominator.
关键词
非线性常微分方程二维变系数线性微分系统可积通积分
Keywords
nonlinear differential equationtwo - dimensional variable coefficient linear differential systemintegrablereduction of integral to common denominator