两类变系数二阶线性齐次微分方程通解的构造  

The General Solution to Construct on Two Classes of Second Order Linear Homogeneous Differential Equation for Variable Coefficient

作　　者：邓勇[1] 

机构地区：[1]喀什师范学院数学系,新疆喀什844006

出　　处：《西南师范大学学报（自然科学版）》2011年第6期1-5,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：新疆维吾尔自治区高校科研计划重点项目(XJEDU2008I31)

摘　　要：在假设变系数二阶线性齐次微分方程两个线性无关解的比值已知的前提下,从这个比值入手去倒推变系数二阶线性齐次微分方程的基本解组,从而得到两类变系数二阶线性齐次微分方程通解的非级数求法.Assume that the ratio of two linearly independent solutions is known on variable coefficient linear homogeneous second-order differential equations. Then the fundamental solutions for variable coefficient second-order linear homogeneous differential equations are given by the reverse deduction method. Hence, the non-series solutions on two types of variable coefficient second-order linear homogeneous differential e- quations are obtained.

关 键 词：变系数 线性齐次 微分方程 基本解组 判别式 

分 类 号：O175.1[理学—数学]