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Streamlines Lines Non Linear System MATLAB2025

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Jan 5, 2026
2:06

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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