| 利用齐次化原理求解常系数非齐次线性方程初值问题 |
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| 引用本文： | 樊龙,李高.利用齐次化原理求解常系数非齐次线性方程初值问题[J].大学数学,2017,33(2):111-113. |
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| 作者姓名： | 樊龙 李高 |
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| 作者单位： | 山西大同大学煤炭工程学院,山西大同,037000 |
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| 摘 要： | 文章给出利用齐次化原理求解n阶常系数非齐次线性方程初值问题的方法.通过基本问题可得到原方程的解,避免了利用常数变易法求解的诸多不便,同时也将非齐次项的形式拓展到了所有可积函数.
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| 关 键 词： | 常系数 非齐次 线性微分方程 齐次化原理 |
Solving the Initial Value Problem of Non-homogeneous Linear Differential Equation with Constant Coefficients by Using Duhamel Principle |
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| FAN Long,LI Gao.Solving the Initial Value Problem of Non-homogeneous Linear Differential Equation with Constant Coefficients by Using Duhamel Principle[J].College Mathematics,2017,33(2):111-113. |
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| Authors: | FAN Long LI Gao |
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| Abstract: | We solve the initial value problem of non-homogeneous linear differential equation by using Duhamel principle.The solution can be obtained through the basic problem, so that we get over the inconvenience of variation of constants, meanwhile the inhomogeneous term can be expanded to all integrable functions. |
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| Keywords: | constant coefficients non-homogeneous linear differential equation Duhamel principle |
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