一类二阶变系数线性微分方程的通解及应用  

General Solution and Application of the Second Order Linear Differential Equation with Variable Coefficients

作　　者：杨素芳 

机构地区：[1]山西药科职业学院,山西太原030031

出　　处：《太原学院学报（自然科学版）》2017年第4期33-35,40,共4页Journal of TaiYuan University:Natural Science Edition

摘　　要：二阶变系数线性微分方程通解的计算,没有初等解法,也没有一个统一的计算方法。文章在一定条件限制下,利用解微分方程的重要方法——常数变易法,给出了一类二阶变系数线性微分方程通解的求法和结论,并通过应用说明方法和结论是行之有效的。There is no primary solution and no unified method for the general calculation of the second order variable linear differential equation.Under certain conditions,this paper gives the method and conclusions for the general solution to linear differential equations of second order variable coefficients by using the method of constant variation,which is important to solve differential equations.At the same time,the method and conclusions are proved to be effective.

关 键 词：微分方程 常数变易法 通解 应用 

分 类 号：O175[理学—数学]