微分方程 matlab
时间: 2023-08-27 12:16:42 浏览: 94
在Matlab中,可以使用dsolve函数来求解微分方程。例如,对于一阶常微分方程dy/dt=ay,并给定初始条件y(0)=5,可以使用以下代码来求解:
syms y(t) a
eqn = diff(y,t) == a*y;
cond = y(0) == 5;
s = dsolve(eqn, cond);
这将返回一个符号表达式s,表示求解得到的函数y(t)。
对于常微分方程组,例如dy/dz=z和dz/dt=-y,可以使用以下代码来求解:
syms y(z) z(t)
eqns = [diff(y,z) == z, diff(z,t) == -y];
S = dsolve(eqns);
[S1, S2 = dsolve(eqns);
这将返回一个符号表达式S,表示求解得到的函数y(z)和z(t)。<span class="em">1</span><span class="em">2</span><span class="em">3</span>
#### 引用[.reference_title]
- *1* *2* [MATLAB--微分方程](https://blog.csdn.net/m0_58585940/article/details/127623921)[target="_blank" data-report-click={"spm":"1018.2226.3001.9630","extra":{"utm_source":"vip_chatgpt_common_search_pc_result","utm_medium":"distribute.pc_search_result.none-task-cask-2~all~insert_cask~default-1-null.142^v92^chatsearchT0_1"}}] [.reference_item style="max-width: 50%"]
- *3* [matlab求解常微分方程——从原理到实践(代码详解)](https://blog.csdn.net/weixin_42019459/article/details/123282353)[target="_blank" data-report-click={"spm":"1018.2226.3001.9630","extra":{"utm_source":"vip_chatgpt_common_search_pc_result","utm_medium":"distribute.pc_search_result.none-task-cask-2~all~insert_cask~default-1-null.142^v92^chatsearchT0_1"}}] [.reference_item style="max-width: 50%"]
[ .reference_list ]
阅读全文
相关推荐









