| 拉普拉斯变换在求解微分方程中的应用 |
| |
| 引用本文： | 李曼生,陈莉.拉普拉斯变换在求解微分方程中的应用[J].广西右江民族师专学报,2006,19(3):5-8. |
| |
| 作者姓名： | 李曼生 陈莉 |
| |
| 作者单位： | 兰州城市学院数学系,甘肃兰州730070 |
| |
| 摘 要： | 文章讨论了高阶线性常微分方程解的构成，从信号与系统的角度出发，给出了线性方程的系统模型。使用拉普拉斯变换的方法对几种常见的问题进行了解答，极大地简化了计算。
|
| 关 键 词： | 线性非齐次微分方程 拉普拉斯变换 线性系统 |
| 文章编号： | 1008-8113（2006）03-0005-04 |
| 收稿时间： | 2006-02-23 |
Application of Laplace Transform to General Solutions of Nonhomogeneous Linear Differential Equations of Constant Coefficient |
| |
| LI Man-sheng, CHEN Li.Application of Laplace Transform to General Solutions of Nonhomogeneous Linear Differential Equations of Constant Coefficient[J].Journal of Youjiang Teachers College For Nationalities Guangxi,2006,19(3):5-8. |
| |
| Authors: | LI Man-sheng CHEN Li |
| |
| Institution: | Department of Mathematics,Lanzhou City College,Lanzhou,Gansu 730070,China |
| |
| Abstract: | This paper studies the general solutions of nonhomogeneous linear differential equations with constant coefficients, and the system model of the linear differential equations is given from the points of signal and system. The method of using Laplace transforms to get the solutions of the linear differential equations is proposed in the paper. As a result, the complexity of computing is reduced. |
| |
| Keywords: | Nonhomogeneous Linear Differential Equation Laplace Transform Linear System |
| 本文献已被 维普 等数据库收录！ |
