| 关于常系数线性微分方程组特解的求法 |
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| 引用本文： | 吴顺唐.关于常系数线性微分方程组特解的求法[J].常熟理工学院学报,2001,15(4):9-12,15. |
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| 作者姓名： | 吴顺唐 |
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| 作者单位： | 镇江师范高等专科学校,江苏,镇江,212000 |
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| 摘 要： | 证明了当非齐次浑系数线性微分方程组（1）中的函数F（x)为某个常系数齐次线性微分方程组的解时，可以用待定系数法求出（1）的一个特解。这个方法要比一般教材中所用的常数变易法简单得多。
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| 关 键 词： | 非齐次常系数线性微分方程组 待定系数法 特解 常数变易法 基解矩阵 |
| 文章编号： | 1008-2794(2001)04-0009-04 |
On the Praticular Solution of the Nonhomogeneous Systems with constant coefficients |
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| WU Shun-tang.On the Praticular Solution of the Nonhomogeneous Systems with constant coefficients[J].Journal of Changshu Institute of Technology,2001,15(4):9-12,15. |
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| Authors: | WU Shun-tang |
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| Abstract: | Let dYdx=AY+F be a nonhomogeneous systems with constant coefficients.In this paper we prove that the particular solution of the nonhomogeneous systems can be obtained by means of the method of undetermined coefficients when the vector function F is itself a particular solution of some homogeneous linear systems with constant coefficients. |
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| Keywords: | Nonhomogeneous systems with constant coefficients Method of undetermined coefficients |
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