| 一类二阶常系数非齐次线性微分方程特解的求解公式 |
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| 引用本文： | 李岚.一类二阶常系数非齐次线性微分方程特解的求解公式[J].岳阳师范学院学报,2013(3):30-34. |
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| 作者姓名： | 李岚 |
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| 作者单位： | 闽西职业技术学院电气系,福建龙岩364021 |
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| 摘 要： | 利用微分算子法和欧拉公式，推导出一类二阶常系数非齐次线性微分方程特解的计算公式，进而得出求此类微分方程特解的简便方法．
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| 关 键 词： | 二阶常系数非齐次线性微分方程 特征根方程 特解 欧拉公式 算子多项式 |
A Solving Formula for a Particular Solution to a Class of Second Order Constant Coefficients Non-homogeneous Linear Differential Equation |
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| LI Lan.A Solving Formula for a Particular Solution to a Class of Second Order Constant Coefficients Non-homogeneous Linear Differential Equation[J].Journal of Yueyang Normal University,2013(3):30-34. |
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| Authors: | LI Lan |
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| Institution: | LI Lan (Department of Electrical Engineering, Western Fujian Vocational and Technical College, Longyan 364021, China) |
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| Abstract: | Method of Differential Operator and Euler＇s Formula are used here to deduce a particular solution formula of a class of second order constant coefficients non-homogeneous linear differential equation, therefore to find a simplified solution to Particular Solution of such Differential Equations. |
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| Keywords: | second order constant coefficients non-homogeneous linear differential equation eigenvalue equation particular solution Euler＇s formula operator polynomial |
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