| 一类可积的三阶线性微分方程 |
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| 引用本文： | 闫运生,林浩.一类可积的三阶线性微分方程[J].河南教育学院学报(自然科学版),2005,14(3):15-16. |
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| 作者姓名： | 闫运生 林浩 |
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| 作者单位： | 河南工业大学,理学院,河南,郑州,450052;河南工业大学,理学院,河南,郑州,450052 |
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| 摘 要： | 本文借助自变量代换,获得了三阶变系数线性微分方程的新的可积类型,并且得到了三阶变系数线性微分方程化为三阶常系数线性微分方程的充要条件.
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| 关 键 词： | 三阶变系数线性微分方程 三阶常系数线性微分方程 充要条件 |
| 文章编号： | 1007-0834(2005)03-0015-02 |
| 收稿时间： | 2005-08-03 |
| 修稿时间： | 2005年8月3日 |
A New Form of Third Order Linear Differential Equation |
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| YAN Yun-sheng,LIN Hao.A New Form of Third Order Linear Differential Equation[J].Journal of Henan Education Institute(Natural Science Edition),2005,14(3):15-16. |
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| Authors: | YAN Yun-sheng LIN Hao |
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| Institution: | College of Science, Henan University of Technology, Zhengzhou 450052, China |
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| Abstract: | In this paper, by means of variable substitute, a new integrable form of third order linear differential equation was obtained. Particularly, a necessary and sufficient condition of converting to third order linear differential equation with constants coefficients form equation was proved. |
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| Keywords: | third order linear differential equation with variable coefficients third order linear differential equation with constants coefficients a necessary and sufficient condition |
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