| 求高阶常系数非齐次线性微分方程的特解公式 |
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| 引用本文： | 吴亚敏. 求高阶常系数非齐次线性微分方程的特解公式[J]. 太原师范学院学报(自然科学版), 2012, 11(1): 40-42 |
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| 作者姓名： | 吴亚敏 |
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| 作者单位： | 鄂东职业技术学院,湖北黄州,438000 |
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| 基金项目： | 湖北省教育科学“十二五”规划2011年立项课题(2011B266) |
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| 摘 要： | 通过分析,研究可以证明得到n阶常系数非齐次线性微分方程y（n）＋p1y（n-1）＋p2y（n-2）＋…＋pny=Pm（x）eλx的特解公式,特解公式与特征方程紧密相连,能达到简化其特解的求解过程.
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| 关 键 词： | 特解 特征方程 特征根 特征线性方程组 |
Demand with Constant Coefficients of Non-Homogeneous Linear Differential Equation Particular Solution Formula |
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| Wu Yamin. Demand with Constant Coefficients of Non-Homogeneous Linear Differential Equation Particular Solution Formula[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 11(1): 40-42 |
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| Authors: | Wu Yamin |
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| Affiliation: | Wu Yamin(Edong Institute of Technology,Huangzhou 438000,China) |
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| Abstract: | By analyzing the research,can prove to be non-constant coefficient n-thorder homogeneous linear differential equation y(n)+p1y(n-1)+p2y(n-2)+…+pny=Pm(x)eλx particular solution formula.Particular solution formula is closely linked with the characteristic equation can be to simplify the process of solving their particular solution. |
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| Keywords: | special solution characteristic equation characteristic roots characteristic linea equations |
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