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常数变易法求二阶常系数线性微分方程的特解
引用本文:王春草. 常数变易法求二阶常系数线性微分方程的特解[J]. 杨凌职业技术学院学报, 2009, 8(4): 22-23
作者姓名:王春草
作者单位:杨凌职业技术学院公共教学部,陕西,杨凌,712100
摘    要:针对二阶常系数非齐次线性微分方程求特解的现有方法的局限性,提出常数变易法求二阶常系数非齐次线性微分方程的特解的方法.并给出四个求特解的公式。

关 键 词:二阶微分方程  常数变易法  变量替换  特解

Variation Constant for Particular Solution of Second Order Linear Differential Equation with Constant Coefficients
WANG Chun-cao. Variation Constant for Particular Solution of Second Order Linear Differential Equation with Constant Coefficients[J]. Journal of Yangling Vocational & Technical College, 2009, 8(4): 22-23
Authors:WANG Chun-cao
Affiliation:WANG Chun-cao (Yangling Vocational and Technical College,Yangling,Shaanxi 712100,China)
Abstract:According to the limitation of the present method to the particular solution of second order nonhomogeneous linear differential equation with constant coefficients, the method of variation of constant was given,in order to solve the general problem of particular solution of second order nonhomogeneous linear differential equation with constant coefficients, then four formulas were also presented to solve the particular solutions.
Keywords:second order differential equation  variatation constant  variate substitution  particular solution
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