matlab画向量.积分曲线
11-05
matlab 之向量场绘图quiver/quiver3
例1:quiver ,平面向量场图
[x, y, z] = peaks(20);
[u, v] = gradient(z);
contour(x, y, z, 10);
hold on, quiver(x,y,u,v); hold off axis image %令x 与y 的长度相等
例2: quiver3,空间向量场图
[x, y] = meshgrid(-2:0.2:2, -1:0.1:1);
z = x.*exp(-x.^2-y.^2);
[u, v, w] = surfnorm(x, y, z); %找出与曲面上各个点垂直的向量(u, v, w),注意已经归一化
quiver3(x, y, z, u, v, w);
hold on, surf(x, y, z); hold off
axis equal
%colormap('default')
用matlab 求下列微分方程的通解,并画出积分曲线族 Dy-3y=6
y=dsolve('Dy-3*y=6','x')
figure(1);hold on
for C2=-10:.1:10
x=[0:.1:1]
plot(x,C2*exp(3*x)-2)
end