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二阶变系数线性常微分方程的求解
引用本文:杨万顺. 二阶变系数线性常微分方程的求解[J]. 潍坊学院学报, 2011, 11(2): 62-64
作者姓名:杨万顺
作者单位:潍坊学院,山东 潍坊,261061
摘    要:有初等解法的微分方程是有限的,对一般的二阶变系数线性微分方程而言,没有一般的初等解法,文中讨论了系数满足一定条件下微分方程的初等解法,并举例说明它的一些简单应用。

关 键 词:常微分方程  通解  变系数  全微分方程

The Solution of Linear Differential Equation of Second Order with Variable Coefficient
YANG Wan-shun. The Solution of Linear Differential Equation of Second Order with Variable Coefficient[J]. Journal of Weifang University, 2011, 11(2): 62-64
Authors:YANG Wan-shun
Affiliation:YANG Wan-shun(Weifang University,Weifang 261061,China)
Abstract:The differential equation having elementary solution is limited,there is no elementary solution for linear differential equation of second order with variable coefficient.This paper discusses the primary method of linear differential equation of second order satisfying certain condition,and explains some of its simple application by example.
Keywords:ordinary differential equation  general solution  total differential equation  
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