| 二阶常系数非齐次线性微分方程的通解公式 |
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| 引用本文： | 宋燕.二阶常系数非齐次线性微分方程的通解公式[J].数学学习,2011(3):6-7. |
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| 作者姓名： | 宋燕 |
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| 作者单位： | 渤海大学数理学院,辽宁锦州121000 |
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| 基金项目： | 基金项目：辽宁省教育厅高校科研项目（Z008009）. |
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| 摘 要： | 根据二阶常系数齐次线性微分方程的特征根,利用降阶法,可给出求解一般二阶常系数非齐次线性微分方程的通解公式.
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| 关 键 词： | 常系数 非齐次 线性微分方程 通解 |
General Solution of Second Order Non-homogeneous LDE with Constant Coefficients |
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| SONG Yan.General Solution of Second Order Non-homogeneous LDE with Constant Coefficients[J].Studies In College Mathematics,2011(3):6-7. |
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| Authors: | SONG Yan |
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| Institution: | SONG Yan (School of Mathematics and Physics, Bohai University, Jinzhou 121000, PRC) |
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| Abstract: | Using the characteristic roots of the corresponding linear homogeneous differential equation and the order reduction method, we derive a formula for general solution of a second order non-homogeneous linear differential equation with constant coefficients. |
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| Keywords: | constant coefficient non-homogeneous linear differential equation general solution |
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