| 二阶变系数齐次线性常微分方程(特、通)解与系数的关系 |
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| 引用本文： | 张红兵,岳新年. 二阶变系数齐次线性常微分方程(特、通)解与系数的关系[J]. 孝感学院学报, 2006, 26(3): 55-57,64 |
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| 作者姓名： | 张红兵 岳新年 |
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| 作者单位： | 1. 青海师范大学,数学系,青海,西宁,810008
2. 孝感学院,数学系,湖北,孝感,432000 |
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| 摘 要： | 探讨了某些特殊类型二阶变系数齐次线性常微分方程的解与系数的广义关系,尝试了从理论上给出通解的一般形式和特解的系数决定式。
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| 关 键 词： | 变系数齐次方程 解与系数 通解 特解 |
| 文章编号： | 1671-2544（2006）03-0055-03 |
| 收稿时间： | 2006-02-27 |
| 修稿时间： | 2006-02-27 |
The Relation between Solution and Coefficient of the Second Order Variable Coefficient and Homogeneous Linear Differential Equation |
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| ZHANG Hong-bing,YUE Xin-nian. The Relation between Solution and Coefficient of the Second Order Variable Coefficient and Homogeneous Linear Differential Equation[J]. JOURNAL OF XIAOGAN UNIVERSITY, 2006, 26(3): 55-57,64 |
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| Authors: | ZHANG Hong-bing YUE Xin-nian |
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| Affiliation: | 1. Department of Mathematics, Qinghai Normal University, Xining, Qinghai 810008, China; 2. Department of Mathematics, Xiaogan University, Xiaogan, Hubei 432000, China |
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| Abstract: | This paper discusses the broad-sense relation between solution and coefficient of some special kinds of second order variable coefficient and homogeneous linear differential equation,and have a try of giving a general form of common solution and the coefficient decision formula of special solution. |
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| Keywords: | variable coefficient and homogeneous equation solution and coefficient common solution special solution |
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