变系数微分方程的常系数化方法研究  

Study of Linear Differential Equation with Variable Coefficients Changing into Invariable Coefficients Ones

作　　者：崔宁[1] 李军红[1] 

机构地区：[1]河北建筑工程学院

出　　处：《河北建筑工程学院学报》2007年第2期118-119,共2页Journal of Hebei Institute of Architecture and Civil Engineering

摘　　要：不同于解具有e∫φ(x)dx形式的待定函数法,给出了n阶变系数微分方程在不同情形下具体的因变量和自变量代换形式,指出了变系数微分方程在具体应用中令a1=0的简便性,并得出二阶变系数非线性微分方程的常系数化方法.At first, overpassing the first lemma, this paper gives the material form of changing, thereby the sufficient condition on which the variable coefficients can translate into invariable ones is given. At the same time,the author points out the simple when let a1 =0. Secondly, the author afford two conditions of the question of the second order nonlinear differential equation with variable coefficients changing into invariable ones.

关 键 词：变系数方程 常系数化 变量代换 

分 类 号：O175[理学—数学]