| 求高阶常系数非齐次线性微分方程的特解公式 |
| |
| 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. |
| |
| 作者姓名： | 吴亚敏 |
| |
| 作者单位： | 鄂东职业技术学院,湖北黄州,438000 |
| |
| 基金项目： | 湖北省教育科学“十二五”规划2011年立项课题(2011B266) |
| |
| 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.
|
| 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 |
| |
| 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. |
| |
| Authors: | Wu Yamin |
| |
| Institution: | Wu Yamin(Edong Institute of Technology,Huangzhou 438000,China) |
| |
| 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. |
| |
| Keywords: | special solution characteristic equation characteristic roots characteristic linea equations |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
