| 解变系数线性微分方程的特征方程法 |
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| 引用本文： | 刘继合.解变系数线性微分方程的特征方程法[J].四川师范大学学报(自然科学版),2002,25(2):149-150. |
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| 作者姓名： | 刘继合 |
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| 作者单位： | 山东理工大学,数学与信息科学学院,山东,淄博,255091 |
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| 摘 要： | 给出了一种简便易行的未知函数变换，利用它可使变系数线性非齐次微分方程的求解问题转化为求其对应特征方程的常数解的（代数）问题。
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| 关 键 词： | 变系数线性非齐次方程 特征方程 常数解 函数变换 降阶 求解方法 变系数线性微分方程 |
| 文章编号： | 1001-8395(2002)02-0149-02 |
| 修稿时间： | 2001年5月19日 |
A Method of Using Characteristic Equation to Solving Linear Nonhomogeneous Differential Equations with Variable |
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| LIU Ji,he.A Method of Using Characteristic Equation to Solving Linear Nonhomogeneous Differential Equations with Variable[J].Journal of Sichuan Normal University(Natural Science),2002,25(2):149-150. |
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| Authors: | LIU Ji he |
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| Abstract: | In this paper, a simple and convenient unknown function transformation is given, by which pursuiting the solution of linear nonhomogeneous differential equations with variable coefficients can be transferred into an algebraic problem of pursuting the constant solution of its corresponding characteristic equation. |
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| Keywords: | Linear nonhomogeneous differential equations with variable coefficients Constant solution of characteristic equation Transformation Decreasing order |
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