| 关于二阶变系数线性微分方程的求解方法 |
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| 引用本文： | 周玲,张玲玲. 关于二阶变系数线性微分方程的求解方法[J]. 安徽教育学院学报, 2007, 25(3): 11-13 |
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| 作者姓名： | 周玲 张玲玲 |
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| 作者单位： | 合肥工业大学理学院,安徽,合肥,230009 |
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| 摘 要： | 若知道二阶变系数齐次线性微分方程的一个非零特解,则可以求出它的通解。同时也能推导出相应的二阶变系数非齐次线性微分方程的通解。并且本文也给出了一些求二阶变系数齐次线性微分方程非零特解的构造方法。
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| 关 键 词： | 二阶变系数线性微分方程 特解 通解 构造方法 |
| 文章编号： | 1001-5116（2007）03-0011-03 |
| 收稿时间： | 2006-10-20 |
| 修稿时间： | 2006-10-20 |
On the Method to Solve the Variable Coefficient Linear Differential Equation of the Second Order |
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| ZHOU Ling,ZHANG Ling-ling. On the Method to Solve the Variable Coefficient Linear Differential Equation of the Second Order[J]. Journal of Anhui Institute of Education, 2007, 25(3): 11-13 |
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| Authors: | ZHOU Ling ZHANG Ling-ling |
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| Affiliation: | School of Science;Hefei University of Technology;Hefei 230009;China |
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| Abstract: | When we know a nonzero special solution to the variable coefficient homogeneous linear differential equation of the second order,we can give its general solution.At the same time,we can derive the general solution to the variable coefficient non-homogeneous linear differential equation of the second order.And we also give some structure methods about nonzero special solution to the variable coefficient homogeneous linear differential equation of the second order. |
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| Keywords: | variable coefficient linear equation special solution general solution structure method |
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