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常见二阶常系数线性非齐次微分方程特解求法的统一
引用本文:陈思源.常见二阶常系数线性非齐次微分方程特解求法的统一[J].荆门职业技术学院学报,2008,23(6).
作者姓名:陈思源
作者单位:西安思源学院高等数学教研室 陕西西安710038
摘    要:对于常见的二阶常系数线性非齐次微分方程,一般教材上特解的求法比较繁琐,而且当方程的自由项为不同类型的时候,所采取的方法也大不相同.文章通过变换,使得当自由项为三种不同类型的时候,二阶常系数线性非齐次微分方程特解的求法得到统一.

关 键 词:二阶常系数线性非齐次微分方程  特解  统一

A Consistent Method for Getting Special Solutions of Common Two Order Linear Non -homogenous Differential Equations
CHEN Si-yuan.A Consistent Method for Getting Special Solutions of Common Two Order Linear Non -homogenous Differential Equations[J].Journal of Jingmen Vocational Technical College,2008,23(6).
Authors:CHEN Si-yuan
Abstract:To the common two order linear nonhomogenous differential equations,in general teaching,the coefficient comparison method to get the special solutions is relatively complex.Moreover,When freedom items of the equations are different types,the approachs taken are also different.In this paper,new Variables are introducted to let the mothed to get the special solutions consistent when freedom items of the equations are three different types.
Keywords:the common two order linear non-homogenous differential equations  special solutions  a consistent method  
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