一类二阶变系数线性微分方程解的研究  

Discussion on Solution to a Class of Second Order Variable Coefficient Linear Differential Equation

作　　者：孙杰华[1] 杜超雄[2] 

机构地区：[1]桂林理工大学博文管理学院,广西桂林541006 [2]邵阳学院理学与信息科学系,湖南邵阳422000

出　　处：《邵阳学院学报（自然科学版）》2016年第1期19-22,共4页Journal of Shaoyang University：Natural Science Edition

摘　　要：讨论了一类二阶变系数线性微分方程的求解问题.通过变量代换将二阶变系数线性微分方程化为一个新的二阶变系数线性微分方程,然后通过对其系数的讨论,结合已有的相关文献的结果,得出二阶变系数线性微分方程的通解表达式.In this paper,the solution to a class of second order variable coefficient linear differential equation is discussed. By using the variable transformation method,the equation is transformed into a new second order variable coefficient linear differential equation. Next,by discussing the coefficients of the equation and the solution results of the related articles,the general solutions of differential equation are obtained.

关 键 词：二阶变系数线性微分方程 变量代换 RICCATI方程 

分 类 号：O175.1[理学—数学]