| 常系数齐次线性微分方程组的一个性质及应用 |
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| 引用本文： | 张喜文. 常系数齐次线性微分方程组的一个性质及应用[J]. 机电产品开发与创新, 2012, 25(2): 183-184,170 |
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| 作者姓名： | 张喜文 |
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| 作者单位： | 辽宁信息职业技术学院,辽宁 辽阳,111000 |
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| 摘 要： | 常系数齐次线性微分方程组在一定条件下存在与其等价的常系数齐次线性微分方程，它们具有相同的特征多项式,因而有相同的特征根。常系数齐次线性微分方程组的通解可以通过与其等价的常系数齐次线性微分方程的通解求得。
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| 关 键 词： | 常系数齐次线性微分方程组 常系数齐次线性微分方程 等价 特征多项式 |
One Character and the Application of Homogeneous Linear Differential Equation System with Constant Coefficients |
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| ZHANG Xi-Wen. One Character and the Application of Homogeneous Linear Differential Equation System with Constant Coefficients[J]. Development & Innovation of Machinery & Electrical Products, 2012, 25(2): 183-184,170 |
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| Authors: | ZHANG Xi-Wen |
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| Affiliation: | ZHANG Xi-Wen(Liaoning Information Vocational Technical College,Liaoyang Liaoning 111000,China) |
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| Abstract: | On certain conditions,homogeneous linear differential equation system with constant coefficients can have equivalent homogeneous linear differential equations with constant coefficients.As they have the same characteristic polynomial,they have the same characteristic root.The general solution of homogeneous linear differential equation system with constant coefficients can be found with the general solution of homogeneous linear differential equations with constant coefficients. |
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| Keywords: | homogeneous linear differential equation system with constant coefficients homogeneous linear differential equations with constant coefficients equivalence characteristic polynomial |
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