| 关于二阶常系数线性齐次常微分方程的通解的一个注记 |
| |
| 引用本文： | 张永明,张二艳,王丹. 关于二阶常系数线性齐次常微分方程的通解的一个注记[J]. 大学数学, 2006, 22(2): 142-143 |
| |
| 作者姓名： | 张永明 张二艳 王丹 |
| |
| 作者单位： | 北京印刷学院数学教研室,北京102600;北京印刷学院数学教研室,北京102600;北京印刷学院数学教研室,北京102600 |
| |
| 摘 要： | 文献[1]给出了二阶常系数线性齐次常微分方程的通解形式,但未回答除了通解形式的解是否还有其它形式的解,本文指出通解包含了所有的解,并给出一个只需要高等数学知识的证明.
|
| 关 键 词： | 常微分方程 通解 特征方程 特征根 |
| 文章编号： | 1672-1454（2006）02-0142-02 |
| 收稿时间： | 2005-01-24 |
| 修稿时间： | 2005-01-24 |
A Note on the General Solution to a Two-order Homogeneous Linear Ordinary Differential Equation with Constant Coefficients |
| |
| ZHANG Yong-ming,ZHANG Er-yan,WANG Dan. A Note on the General Solution to a Two-order Homogeneous Linear Ordinary Differential Equation with Constant Coefficients[J]. College Mathematics, 2006, 22(2): 142-143 |
| |
| Authors: | ZHANG Yong-ming ZHANG Er-yan WANG Dan |
| |
| Abstract: | Reference Document One gives the general solution to a two-order homogeneous linear ordinary differential equation with constant coefficients,but doesn't answer if there are any other solutions.In this paper,a definite answer to the question is presented with a proof by using the knowledge of advanced mathematics only. |
| |
| Keywords: | ordinary differential equation general solution characteristic equation characteristic root |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
