| 某类高阶非齐次线性微分方程的简捷解法 |
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| 引用本文： | 汤光宗,孙庆先.某类高阶非齐次线性微分方程的简捷解法[J].重庆工商大学学报(自然科学版),1996(2). |
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| 作者姓名： | 汤光宗 孙庆先 |
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| 作者单位： | 江汉大学数学系，武汉教育学院数学系 |
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| 摘 要： | 从文［１］得到启示，采用积分因子法，在一定条件下获得高阶交系数非齐次线性微分方程通解的表达式。在此基础上，利用文［２］－［４］的有关结果，在某些条件下，得到高阶常系数非齐次线性微分方程特解的表达式。
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| 关 键 词： | 高阶线性微分方程 积分因子 通解 特解 解法 公式 |
Concise Solution to Some Kinds of Higher-order Nonhomogeneous Linear Differential Equation |
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| Tang Guangsong.Concise Solution to Some Kinds of Higher-order Nonhomogeneous Linear Differential Equation[J].Journal of Chongqing Technology and Business University:Natural Science Edition,1996(2). |
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| Authors: | Tang Guangsong |
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| Abstract: | Drawing the inspiration from 1] and by adopting method of integrating factor,the expression of general solution to higher-order variable coeffcient nonhonogeneous linear differential equation under certain circumstances is obtained. Moreover,the expression of particular solotion to higher-order constant coefficinet nonhomogeneous linear differential equation under some circumstances is also gotten. |
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| Keywords: | higher-order linear differential equation integrating factor general solution Particular solution solution formula |
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