For the classes of Atul Roy
For another version of this problem, you may look at
https://www.youtube.com/watch?v=kW4xniSlKPc
The commands used in this video are below
% Define vector field
[x, y] = meshgrid(-6:0.2:6, -6:0.2:6);
U = -x.^2 .* cos(y) .* sin(x);
V = x.^2 .* cos(x) .* sin(y) + 2 .* x .* (sin(x) .* sin(y) - 1);
L = sqrt(U.^2 + V.^2);
% Plot the vector field
quiver(x, y, U./L, V./L, 0.6, 'b')
axis([-6 6 -6 6])
hold on
% Make a dense grid of starting points for streamlines
[startx, starty] = meshgrid(-6:0.5:6, -6:0.5:6);
streamline(x, y, U, V, startx, starty)
% Plot appearance
axis equal
xlabel('x(t)')
ylabel('y(t)')
title('Vector Field with Streamlines')
axis([-6 6 -6 6])
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Streamlines Lines Non Linear System MATLAB2025 | NatokHD