| 几类Euler型微分方程的求解 |
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| 引用本文： | 冯丽珠 汤光宋. 几类Euler型微分方程的求解[J]. 株洲师范高等专科学校学报, 2006, 11(5): 51-54 |
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| 作者姓名： | 冯丽珠 汤光宋 |
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| 作者单位： | 江汉大学数学与计算机科学学院 武汉430056 |
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| 摘 要： | 提出几类Euler(欧拉)型微分方程,借助变量替换法、线性化法、降阶法、交换变量位置法及复合函数求导法则,转化为可求解的Euler方程,论证它们的可积性,扩大微分方程的可积范围,给出求解的方法及通积分的表达式.
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| 关 键 词： | Euler型微分方程 变量替换法 线性化法 降阶法 变换变量位置法 通积分 |
| 文章编号： | 1009-1432(2006)05-0051-04 |
| 收稿时间： | 2006-04-11 |
| 修稿时间： | 2006-04-11 |
Solutions to Some Euler Differential Equations |
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| FENG Li-zhu,TANG Guang-song. Solutions to Some Euler Differential Equations[J]. Journal of Zhuzhou Teachers College, 2006, 11(5): 51-54 |
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| Authors: | FENG Li-zhu TANG Guang-song |
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| Abstract: | This paper solved several types of Euler differential equations by variation replacement,linearization,reduction of order,variation position transformation and compound function derivation law,demonstrated their integrability,extended the range of integrability of differential equation,and put forward the expression of general integral. |
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| Keywords: | Euler differential equation method of variable replacement method of linearization method of reduction of order method of variation position transformation general integral |
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