二阶导数的欧拉算法 matlab代码

以下是二阶导数的欧拉算法的MATLAB代码：

syms y(t) % 声明符号变量 y(t)
y0 = 20; % 初始条件
h = 0.1; % 步长

% 定义欧拉算法迭代函数
f = @(t, y, dy) dy; % 一阶导数的函数表达式
g = @(t, y, dy) 2 * (1 - 0.01 * y) * dy; % 二阶导数的函数表达式
t = 0:h:10; % 时间间隔
y = zeros(size(t)); % 初始化y
dy = zeros(size(t)); % 初始化dy

% 欧拉算法迭代
for i = 1:length(t)-1
dy(i+1) = dy(i) + h * g(t(i), y(i), dy(i));
y(i+1) = y(i) + h * f(t(i), y(i), dy(i));
end

% 绘制图像
plot(t, y)
xlabel('t')
ylabel('y')
title('二阶导数的欧拉算法')
grid on<span class="em">1</span><span class="em">2</span><span class="em">3</span>
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