| 一类二阶变系数线性微分方程的解法 |
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| 引用本文： | 高杨,王贺元.一类二阶变系数线性微分方程的解法[J].数学学习,2014(1):77+82-77,82. |
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| 作者姓名： | 高杨 王贺元 |
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| 作者单位： | 辽宁工业大学理学院 |
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| 摘 要： | 介绍如何通过变换把二阶变系数线性微分方程转化为一阶非线性微分方程,进而利用待定系数法对其求解,并对二阶变系数线性微分方程与一阶常系数非线性微分方程的内在的关系进行讨论.
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| 关 键 词： | 微分方程 非线性 变系数 |
Solving a Class of Second Order LDE with Variable Coefficients |
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| GAO Yang;WANG Heyuan.Solving a Class of Second Order LDE with Variable Coefficients[J].Studies In College Mathematics,2014(1):77+82-77,82. |
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| Authors: | GAO Yang;WANG Heyuan |
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| Institution: | GAO Yang;WANG Heyuan;School of Science,Liaoning University of Technology; |
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| Abstract: | In this paper,we transfer a second order linear differential equation with variable coefficients to a first order nonlinear differential equation with constant coefficients,and solve the differential equation by using the method of undetermined coefficients.The relations of the two differential equations are discussed. |
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| Keywords: | differential equations nonlinear variable coefficients |
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