| 一类新二阶变系数线性微分方程的可积判据 |
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| 引用本文： | 张学元. 一类新二阶变系数线性微分方程的可积判据[J]. 韶关学院学报, 2003, 24(9): 1-5,29 |
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| 作者姓名： | 张学元 |
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| 作者单位： | 湖南工程学院,数理系,湖南,湘潭,411104 |
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| 摘 要： | 研究在理论上和应用上占有重要地位的二阶线性微分方程的解法，给出了一类新二阶变系数线性齐次和非齐次微分方程的一个实用的可积判据及相应的通解积分表达式，经典的二阶常系数线性微分方程的解法是这篇论文结果的特例。
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| 关 键 词： | 二阶变系数线性微分方程 特征方程 可积判据 通解的积分表达式 |
| 文章编号： | 1007-5348(2003)09-0001-05 |
The Integrable Criterion of One Kind of New Second-order Variable Coefficient Linear Differential Equation |
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| ZHANG Xue-yuan. The Integrable Criterion of One Kind of New Second-order Variable Coefficient Linear Differential Equation[J]. Journal of Shaoguan University(Social Science Edition), 2003, 24(9): 1-5,29 |
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| Authors: | ZHANG Xue-yuan |
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| Abstract: | In this paper, the solution of second-order Linear differential equation which is important in theory and practice is studied, a practical integrable criterion of one kind of new second-order variable coefficient linear homogeneous and non-homogeneous equation and the integral expression formula of it's general solution are given, the solution of classical second-order constant coefficient linear differential equation is the special case of the result of this paper. |
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| Keywords: | second-order variable coefficient linear differential equation characteristic equation in- tegrable Criterion integral expression formula of the general solution |
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