MATLAB 常微分方程数值解法：显式欧拉法

% 显式欧拉法求解常微分方程 clear all; clc;

% 设置时间步长和时间区间 dt = 0.01; t = 0:dt:1;

% 初始化u和v的值 u = zeros(size(t)); v = zeros(size(t)); u(1) = 1; v(1) = 2;

% 显式欧拉法求解常微分方程 for i = 2:length(t) u(i) = u(i-1) + dt*(-4u(i-1) + 6v(i-1)); v(i) = v(i-1) + dt*(3u(i-1) - 7v(i-1)); end

% 绘制图像 plot(t,u,'-r',t,v,'-b'); xlabel('t'); ylabel('u,v'); legend('u','v');