| 一类n阶常系数非齐次微分方程特解的计算 |
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| 引用本文： | 乔保民.一类n阶常系数非齐次微分方程特解的计算[J].商丘师范学院学报,2002,18(5):41-43. |
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| 作者姓名： | 乔保民 |
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| 作者单位： | 商丘师范学院,数学系,河南,商丘,476000 |
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| 摘 要： | 给出了n阶常系数非齐次微分方程特解的一种简便计算方法。通过该方法可建立关于特解多项式中待定系数的线性递归方程组。从而确实特解中多项式的待定系数得到特解，减少了把特解代入微分方程的繁琐计算。
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| 关 键 词： | 常系数非齐次微分方程 特征方程 特征根 待定系数 计算方法 |
| 文章编号： | 1008-2662(2002)05-0041-03 |
| 修稿时间： | 2002年1月2日 |
The method to solve particular solution for a class of n order constant coefficient nonhomogeneour diefferential equation |
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| QIAO Bao-min.The method to solve particular solution for a class of n order constant coefficient nonhomogeneour diefferential equation[J].Journal of Shangqiu Teachers College,2002,18(5):41-43. |
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| Authors: | QIAO Bao-min |
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| Abstract: | This paper presents a simple method to solve particular solution for a class of n order constant coefficient nonhomogeneous differential equation. A linear recurrence system of equations for polynomial of particular solution, then we obtain its partisular solution. It reduces the complicated calculation in the taking the particular solution into the differential equation. |
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| Keywords: | constant coefficient nonhomogeneous differential equation proper equation latent root particular solution |
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