| 常微分方程求积分因子的一个定理及其应用 |
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| 引用本文： | 赵凯宏,李晓飞. 常微分方程求积分因子的一个定理及其应用[J]. 玉溪师范学院学报, 2004, 20(12): 31-34 |
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| 作者姓名： | 赵凯宏 李晓飞 |
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| 作者单位： | 玉溪师范学院,数学系,云南,玉溪,653100 |
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| 摘 要： | 将积分因子满足的偏微分方程改写成其特征方程,从而与常微分方程组的首次积分相联系.利用"可积组合法"来求积分因子,从而使所求常微分方程化成全微分方程.
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| 关 键 词： | 全微分方程 积分因子 首次积分 |
| 文章编号： | 1009-9506(2004)12-0031-04 |
| 修稿时间： | 2004-08-06 |
The Theorem and Its Application for Solving Integrating Factors of Ordinary Differential Equitions |
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| ZHAO Kai-hong,LI Xiao-fei. The Theorem and Its Application for Solving Integrating Factors of Ordinary Differential Equitions[J]. Journal of Yuxi Teachers' College, 2004, 20(12): 31-34 |
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| Authors: | ZHAO Kai-hong LI Xiao-fei |
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| Abstract: | The partial differential equitions satisfied with integral factors rewrite to its characteristic equitions . Hence, It is related to the first integral of the system of ordinary differential equations . The integrating factors are caculated by the integral combinatorial method. Therefore, the ordinary differential equitions become the complete differential equations. |
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| Keywords: | complete differential equations integrating factors First integral |
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