| 二阶线性微分方程组解法研究 |
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| 引用本文： | 吴幼明,冯宝仪.二阶线性微分方程组解法研究[J].大学数学,2011,27(4):171-175. |
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| 作者姓名： | 吴幼明 冯宝仪 |
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| 作者单位： | 佛山科学技术学院数学系,广东佛山,528000 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 采用降阶法和欧拉方法对一类二阶线性微分方程组的求解进行了研究,并给出了当系数矩阵的特征根为三种不同情况（互异、共轭、二重根）时微分方程组的通解公式,并通过算例验证了通解的正确性.
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| 关 键 词： | 矩阵 微分方程组 线性无关 通解 |
Research the Solution of the Second Order Linear Differential Equations |
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| WU You-ming,FENG Bao-yi.Research the Solution of the Second Order Linear Differential Equations[J].College Mathematics,2011,27(4):171-175. |
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| Authors: | WU You-ming FENG Bao-yi |
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| Institution: | WU You-ming,FENG Bao-yi(Department of Mathematics,Foshan University,Foshan 528000,China) |
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| Abstract: | Research the solution on one kind of the second order linear differential equations by the methods of reducing order and Euler＇s eigenvalues.The general solution formulas of the differential equations are obtained when the characteristic root of coefficient matrix is different,conjugate or duplicate.Through some examples,the general solution formulas are validated. |
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| Keywords: | matrix differential equations linear independence general solution |
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