| 一类Riccati方程的精确解 |
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| 引用本文： | 朱晖,吴庆华,周伟平. 一类Riccati方程的精确解[J]. 南华大学学报(自然科学版), 2011, 25(3): 72-73 |
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| 作者姓名： | 朱晖 吴庆华 周伟平 |
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| 作者单位： | 1. 南华大学数理学院,湖南衡阳,421001
2. 孝感学院数学与统计学院,湖北孝感,432000 |
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| 摘 要： | 本文主要讨论在一类Riccati方程的特解基础上得出一类二阶变系数常微分方程的通解公式．
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| 关 键 词： | Riccati方程 二阶变系数常微分方程 通解 特解 |
| 收稿时间： | 2011-02-24 |
Exact Solution for Some Riccati Equation |
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| ZHU Hu,WU Qing-hu,ZHOU Wei-ping. Exact Solution for Some Riccati Equation[J]. Journal of Nanhua University(Science and Technology), 2011, 25(3): 72-73 |
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| Authors: | ZHU Hu WU Qing-hu ZHOU Wei-ping |
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| Affiliation: | 1 (1.School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China; 2.Department of Mathematics and Statistics,Xiaogan University,Xiaogan,Hubei 432000,China) |
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| Abstract: | In this paper,the author derives a particular solution for some Riccati equation,and then on the base of that,he shows a general solution formula for some second order differential equations with variable coefficient. |
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| Keywords: | Riccati equation second order differential equation with variable coefficient general solutions exact solutions |
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