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关于二阶变系数线性常微分方程的转化问题
引用本文:王守田,杨立中,刘承世.关于二阶变系数线性常微分方程的转化问题[J].高师理科学刊,1997(1).
作者姓名:王守田  杨立中  刘承世
作者单位:大庆石油学院
摘    要:本文利用未知函数分解的技巧,推导出了将二阶变系数线性常微分方程化为常系数方程,或化为欧拉方程,贝塞尔方程等一些已知类型方程的充分条件.

关 键 词:变系数  线性常微分方程

On Transformation of Two-Order Variable Coefficient Linear Ordinary Differential Equations
Wang Shoutian,Yang Ljzhong,Liu Chengshi.On Transformation of Two-Order Variable Coefficient Linear Ordinary Differential Equations[J].Journal of Science of Teachers'College and University,1997(1).
Authors:Wang Shoutian  Yang Ljzhong  Liu Chengshi
Institution:Daqing Petroleum Institute
Abstract:In this paper we have used the skills of the resolution of the unknown function to induce the full conditions of some known typical equations of transforming two - order variable coefficient linear ordinary differential equations into ordinary coefficient equations, or Euler equations, Bessel equations.
Keywords:Two-order Variable coefficient Linear ordinary differential equation  
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