| 求高阶非齐次微分方程(组)特解的矩阵解法 |
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| 引用本文： | 戴中林. 求高阶非齐次微分方程(组)特解的矩阵解法[J]. 大学数学, 2013, 0(6): 125-129 |
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| 作者姓名： | 戴中林 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充637002 |
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| 摘 要： | 给出了求一类高阶非齐次线性微分方程(组)特解的矩阵解法.即由对应齐次微分方程(组)的n个特解以及非齐次微分方程(组)的自由项构成某线性方程组的增广矩阵,并对该增广矩阵进行初等行变换,即可求得非齐次微分方程(组)特解的一种简便方法.
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| 关 键 词： | 高阶非齐次线性方程(组) 特解 常数变易法 增广矩阵 初等变换法 |
The Solution of the Linear Non-homogeneous Linear Differential Equations |
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| DAI Zhong-lin. The Solution of the Linear Non-homogeneous Linear Differential Equations[J]. College Mathematics, 2013, 0(6): 125-129 |
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| Authors: | DAI Zhong-lin |
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| Affiliation: | DAI Zhong-lin (West China of Mathematics and Information College, Nanehong 637002, China) |
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| Abstract: | The summary given to a class of non-homogeneous linear differential equations seek a particular solution method , will the corresponding non-homogeneous equation augmented matrix to elementary transformation in order to obtain the particular solution of nonhomogeneous linear differential equations. |
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| Keywords: | non-homogeneous linear equation particular solution variation of constants augmented matrix elementary transformation |
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