变系数二阶线性微分方程的又一个新的可解类型  

A New Solvable Type of Second Order Linear Differential Equation with Variable Coefficients

作　　者：李冬辉[1] 彭培让[1] 

机构地区：[1]河南教育学院数学系,河南郑州450014

出　　处：《河南教育学院学报（自然科学版）》2006年第2期4-5,共2页Journal of Henan Institute of Education(Natural Science Edition)

摘　　要：本文通过利用未知函数的线性变换和自变量变换,将一类变系数线性微分方程化成二阶常系数线性微分方程,从而得到变系数二阶线性微分方程的一个新的可解类型.In this paper, a kind of linear differential equation with variable coefficients is turned into second order linear differential equation with constant coefficients through linear and self- variable transformation of unknown function, then a new solvable type of second order linear differential equation with variable coefficients is obtained.

关 键 词：变系数二阶线性微分方程 变换 新的可解类型 通解 

分 类 号：O175.1[理学—数学]