| 一类常微分方程的初等解析解 |
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| 引用本文： | 张学元. 一类常微分方程的初等解析解[J]. 湖南文理学院学报(自然科学版), 2002, 14(1): 9-13 |
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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： | 从几何实例引入了一类新的常微分方程 ,运用初等代数的方法证明了这类微分方程是具有初等解析解的 ,并引入了特征方程的概念 ,给出了通解的代数表达式 ,从而扩大了常微分方程封闭可解的范围
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| 关 键 词： | 常微分方程 新的可解类型 特征方程 初等解析解 |
| 文章编号： | 1009-3818(2002)01-0009-05 |
| 修稿时间： | 2001-11-12 |
THE ELEMENTARY ANALYTIC SOLUTION TO A KIND OF ORDINARY DIFFERENTIAL EQUATION |
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| ZHANG Xue-yuan. THE ELEMENTARY ANALYTIC SOLUTION TO A KIND OF ORDINARY DIFFERENTIAL EQUATION[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2002, 14(1): 9-13 |
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| Authors: | ZHANG Xue-yuan |
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| Abstract: | A kind of new ordinary differential equation was first obtained from a geometic example,then it was proved to have elementary analytic solution with the method of elementary algebraic.The concept of characteristic equation was also introduced and the algebraic expression formula of its general solution was given,thus the closed sovable range of ordinary differential equation was extended. |
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| Keywords: | ordinary differential equation new solvable types characteristic equation elementary anlytic solution |
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