| 常系数线性微分方程通解的另一种推导方法 |
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| 引用本文： | 陈春宝,沈家骅,丁颂康. 常系数线性微分方程通解的另一种推导方法[J]. 重庆交通大学学报(自然科学版), 2009, 28(1): 158-160 |
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| 作者姓名： | 陈春宝 沈家骅 丁颂康 |
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| 作者单位： | 上海海事大学文理学院,上海,200135;上海海事大学数学与物理研究所,上海,200135 |
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| 摘 要： | 微分方程是高等数学重要内容之一,一般文献和教科书中仅研究到二阶常系数线性微分方程通解求法,方法都是待定系数法。在这给出了常系数线性微分方程待定指数法和非齐次待定系数法的使用解释,研究和提出了一种新的推导方法-降阶法。
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| 关 键 词： | 常系数 线性 微分方程 待定系数法 特征方程 降阶 |
A New Solution of Linear Differential Equations with Constant Coefficient |
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| CHEN Chun-bao,SHEN Jia-hua,DING Song-kang. A New Solution of Linear Differential Equations with Constant Coefficient[J]. Journal of Chongqing Jiaotong University, 2009, 28(1): 158-160 |
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| Authors: | CHEN Chun-bao SHEN Jia-hua DING Song-kang |
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| Affiliation: | 1.School of Arts & Science;Shanghai Maritime University;Shanghai 200135;China;2.Institute of Mathematics & Physics;China |
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| Abstract: | Differential equation is of great importance in the advanced Mathematics.The solution method of second-order coefficient of linear differential equation is studied in general literature and textbooks,that is,undetermined coefficient method.The explanation of constant coefficient of linear differential equations to be determined index and non-homogeneous factor to be determined explanation is given,and a new method — reduced order method is proposed and studied. |
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| Keywords: | constant coefficient linear differential equation undetermined coefficient method characteristic equation reduced order |
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