| 用MATLAB符号工具箱编程求常微分方程的通解 |
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| 引用本文： | 唐洪浪,桂现才. 用MATLAB符号工具箱编程求常微分方程的通解[J]. 洛阳师范学院学报, 2005, 24(2): 81-84 |
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| 作者姓名： | 唐洪浪 桂现才 |
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| 作者单位： | 湛江师范学院数学系,广东,湛江,524048 |
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| 摘 要： | 用MATLAB的函数dsolve解常微分方程时,只能得出解析解,对于解的结果只能用隐式来表示的情况,dsolve便无能为力.因此,用dsolve对某些齐次微分方程和全微分方程求解时,MATLAB往往得不到有用的结果.本文利用MATLAB符号工具箱,通过编程可求出齐次方程的解,通过自动寻找积分因子,从而求出全微分方程的通解,另外指出文献[3]中的一个错误.
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| 关 键 词： | dsolve函数 齐次方程 全微分方程 积分因子 MATLAB 符号工具箱 |
| 文章编号： | 1009-4970(2005)02-0081-04 |
| 修稿时间： | 2004-09-27 |
Apply MATLAB Symbol Toolbox to Solve Ordinary Differential Equations by Program |
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| TANG Hong-lang,GUI Xian-cai. Apply MATLAB Symbol Toolbox to Solve Ordinary Differential Equations by Program[J]. Journal of Luoyang Teachers College, 2005, 24(2): 81-84 |
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| Authors: | TANG Hong-lang GUI Xian-cai |
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| Abstract: | When solving an ordinary differential equation, the function dsovle of MATLAB can give analytic solution, but it can’t solve ordinary differential equation while the solution is implicit. So in solving some homogeneous and complete differential equations, it has not any useful results. This paper applies symbol toolbox of MATLAB to solve the implicit solution of the homogeneous and complete differential equation by programming and point out one error in reference[3]. |
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| Keywords: | dsolve homogeneous differential equation complete differential equation integrating factors symbol toolbox |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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