| 一阶线性微分方程组的一种解法 |
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| 引用本文： | 金路,朱大训.一阶线性微分方程组的一种解法[J].大学数学,2013,29(2):86-90. |
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| 作者姓名： | 金路 朱大训 |
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| 作者单位： | 复旦大学数学科学学院,上海,200433 |
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| 摘 要： | 利用矩阵知识给出了一阶线性微分方程组的一种用公式表达的解法,其优点在于一方面可以避免繁琐的复矩阵运算以及求复特征向量的运算,另一方面可以简化求解过程.
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| 关 键 词： | 一阶线性微分方程组 特征值 特征向量 复矩阵 |
A Solution to the Systems of First-order Linear Differential Equations |
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| JIN Lu
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ZHU Da-xun.A Solution to the Systems of First-order Linear Differential Equations[J].College Mathematics,2013,29(2):86-90. |
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| Authors: | JIN Lu ZHU Da-xun |
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| Institution: | (School of Mathematical Sciences, Fudan University, Shanghai 200433,, China) |
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| Abstract: | A solution to the systems of first-order linear differential equations is obtained. The key point of this solution is that it can avoid the complicated computation of complex matrix and complex eigenvectors; furthermore, it can simplify the processes of finding the solution. |
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| Keywords: | first-order linear differential equations eigenvalue eigenvector complex matrix |
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