对这个题目生成在例4-22中,若y(O-) = l,y'(O-) = -2,求系统的全响应 MATLAB中的函数
时间: 2024-03-12 18:46:25 浏览: 120
可以使用 MATLAB 中的 dsolve 函数来求解该系统的全响应。具体代码如下:
```matlab
syms y(t)
eqn = diff(y, t, 2) + 3*diff(y, t) + 2*y == 0;
Dy = diff(y);
cond = [y(0) == 1, Dy(0) == -2];
ySol(t) = dsolve(eqn, cond);
```
其中,syms y(t) 定义了符号变量 y,eqn 定义了微分方程,Dy 表示 y(t) 的一阶导数,cond 定义了初始条件,ySol(t) 表示 dsolve 函数求解得到的 y(t)。
最后,可以使用 fplot 函数对 y(t) 进行绘图:
```matlab
fplot(ySol, [0, 10]);
```
运行上述代码,即可得到系统的全响应图像。
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