| 一类简单黎卡提方程的求解 |
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| 引用本文： | 徐士河,杨万顺. 一类简单黎卡提方程的求解[J]. 阜阳师范学院学报(自然科学版), 2005, 22(3): 11-12 |
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| 作者姓名： | 徐士河 杨万顺 |
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| 作者单位： | 中山大学,数学与计算科学学院,广州,510275 |
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| 摘 要： | 有初等解法的微分方程是很有限的,形式上很简单的黎卡提方程对一般的P(x),Q(x),R(x)而言,就没有初等解法,该文讨论满足一定条件的黎卡提方程的初等解法.
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| 关 键 词： | 黎卡提方程 变量可分离方程 伯努力方程 |
| 文章编号： | 1004-4329（2005）03-0011-02 |
| 收稿时间： | 2004-12-06 |
| 修稿时间： | 2004-12-06 |
The Solution of One Simple Riccati Equation |
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| XU Shi-he,YANG Wan-shun. The Solution of One Simple Riccati Equation[J]. Journal of Fuyang Teachers College:Natural Science, 2005, 22(3): 11-12 |
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| Authors: | XU Shi-he YANG Wan-shun |
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| Affiliation: | Department of Math, Zhongshan University ,Guangzhou 510275 ,China |
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| Abstract: | The differential equations which have elementary solutions are very limited. For example, the simple Riccati equation to the general P(x),Q(x) ,R(x), has no elementary solution. This article discusses that the Riccati equation has elementary solutions under certain conditions. |
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| Keywords: | riccati equation ~separable equation in variable ~ bernoulli equation |
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