微分方程 matlab

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]
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