| 某类常微分方程的积分解法 |
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| 引用本文： | 刘向宇.某类常微分方程的积分解法[J].长春大学学报,2011(12):77-80. |
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| 作者姓名： | 刘向宇 |
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| 作者单位： | 天津广播电视大学理工学院 |
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| 摘 要： | 关于二阶常系数线性微分方程的常规解法是非常完善的，而且还可推广出高阶常系数线性微分认识方程的求解。但是这个方法也是比较复杂的，对于某些二阶常系数线性微分方程完全可以改用简单实用的方法来解决。根据其特征根的不同情况进行分类讨论可以得到通解的一般表达形式。
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| 关 键 词： | 微分方程 特征根 通解 积分方法 |
Integration Method for Some Ordinary Differential Equation |
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| LIU Xiang-yu.Integration Method for Some Ordinary Differential Equation[J].Journal of Changchun University,2011(12):77-80. |
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| Authors: | LIU Xiang-yu |
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| Institution: | LIU Xiang-yu(College of Science and Technology,Tianjin Radio and TV University,Tianjin 300191,China) |
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| Abstract: | The normal method of solution about 2nd order linear differential equation with constant coefficients is perfect, which can deduce the solution to high order linear differential equation with constant coefficients. But the method is more complicated for some 2nd order linear ordinary differential equation with constant coefficients ,we can use more simple and practical method. The general expression of solutions is btained by making classified discussion on the differential equation according to the characteristic root. |
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| Keywords: | differential equation characteristic root general solution integration method |
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