| 关于常系数非齐次线性微分方程通解的注释 |
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| 引用本文： | 李开丁,汤燕斌,李莉.关于常系数非齐次线性微分方程通解的注释[J].大学数学,2013(6):141-145. |
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| 作者姓名： | 李开丁 汤燕斌 李莉 |
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| 作者单位： | [1]华中科技大学数学学院,武汉430074 [2]深圳大学数学与计算科学学院,深圳518060 |
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| 摘 要： | 给出了二、三阶常系数非齐次线性微分方程的通解的表达式,并且对于任意阶常系数非齐次线性微分方程的某些类别也给出了通解的表达式.
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| 关 键 词： | 常系数非齐次线性微分方程 通解 特征方程 特征根 |
Comments on the General Solutions of the Constant Coefficient Non-homogeneous Linear Differential Equation |
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| LI Kai-ding,TANG Yan-bin,LI Li.Comments on the General Solutions of the Constant Coefficient Non-homogeneous Linear Differential Equation[J].College Mathematics,2013(6):141-145. |
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| Authors: | LI Kai-ding TANG Yan-bin LI Li |
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| Institution: | 1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074,China 2. College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060,China) |
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| Abstract: | The expressions of general solutions for second and third order constant coefficient non-homogeneous linear differential equation are given. And the general solutions for eertain categories of any order constant coefficient non- homogeneous linear differential equation are also obtained. |
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| Keywords: | constant coefficient non-homogeneous linear differential equation general solutions characteristic equation characteristic root |
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