| 求常系数非齐次微分方程特解的一种新方法--特征多项式法 |
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| 引用本文： | 倪仁兴.求常系数非齐次微分方程特解的一种新方法--特征多项式法[J].绍兴文理学院学报,2003,23(9):12-14,20. |
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| 作者姓名： | 倪仁兴 |
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| 作者单位： | 绍兴文理学院,数学系,浙江,绍兴312000 |
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| 基金项目： | 国家自然科学基金(10271025)，浙江教育厅科研项目(20010105)，浙江省自然科学基金(102002). |
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| 摘 要： | 提出了求解常系数非齐次线性微分方程特解的一种新简化方法——特征多项式法，它比通常教材介绍的两种传统方法——比较系数法和拉普拉斯变换法简捷，对高阶、项数多的微分方程显得更有意义。
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| 关 键 词： | 常系数非齐次微分方程 特解 求解方法 特征多项式法 比较系数法 拉普拉斯变换法 |
| 文章编号： | 1008-293X(2003)09-0012-03 |
A New Method of Solving Linear Non-homogeneous Differential Equations with Constant Coefficients--Method of Using Characteristic Polynomial |
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| Ni Renxing.A New Method of Solving Linear Non-homogeneous Differential Equations with Constant Coefficients--Method of Using Characteristic Polynomial[J].Journal of Shaoxing College of Arts and Sciences,2003,23(9):12-14,20. |
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| Authors: | Ni Renxing |
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| Abstract: | A new and simple method of solving linear non - homogeneous differential equations with constant coeffi-cients is given: method of using characteristic polynomial. It is simpler than the two traditional methods - - method of undetermined coefficient and method of Laplace transforms introduced by ordinary textbooks. It is more significant to high - order or numerous ?items differential equations. |
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| Keywords: | Linear non- homogeneous differential equations with constant coefficients particular solution method of characteristic Polynomial method of undetermined coefficient Method of Laplace transforms |
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