| 二阶线性常系数非齐次常微分方程的分解式讲授方法 |
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| 引用本文： | 张永明.二阶线性常系数非齐次常微分方程的分解式讲授方法[J].北京印刷学院学报,2005,13(Z1):32-33,72. |
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| 作者姓名： | 张永明 |
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| 作者单位： | 北京印刷学院,基础部,北京,102600 |
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| 摘 要： | 针对一般函数f(x)作为自由项的二阶线性常系数非齐次常微分方程y"+py'+qy=f(x),提出一种新的讲授方法(暂时称之为分解式讲授方法).该方法针对方程的具体形式,最终分解成两种情况分别加以讨论,一次性地得到方程的通解,不需要单独求解特解.
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| 关 键 词： | 二阶线性常系数非齐次常微分方程 通解 特解 |
| 文章编号： | 1004-8626(2005)1-0032-03 |
| 修稿时间： | 2005年3月3日 |
A new teaching method for 2-order non-homogeneous linear ordinary differential equation with constant coefficients |
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| ZHANG Yong-ming.A new teaching method for 2-order non-homogeneous linear ordinary differential equation with constant coefficients[J].Journal of Beijing Institute of Graphic Communication,2005,13(Z1):32-33,72. |
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| Authors: | ZHANG Yong-ming |
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| Abstract: | A new teaching method for 2-order non-homogeneous linear ordinary differential equation with constant coefficients, the new method presented in this paper is very easy to be performed, because the thing we need only to do is to solve two 1-order linear differential equations or a simple transformation. And we can get the equation's general solution by the method presented in this paper without solving special solution separately. |
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| Keywords: | 2-order non-homogeneous linear ordinary differential equation with constant coefficient general solution special solution |
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