(xy^3)/(1+y^2) = 8/5 contours in matlab

To generate the contour plot for the equation (xy^3)/(1+y^2) = 8/5 in MATLAB, we need to follow the below steps:

1. Define the equation to be plotted and create a meshgrid of its domain.
2. Create a grid of Z values for corresponding (X,Y) pairs using the above equation.
3. Plot the contours using the contour function in MATLAB.

main.m
% Step 1: Define equation and create meshgrid
[x, y] = meshgrid(-4:.1:4, -4:.1:4);
z = (x.*y.^3)./(1+y.^2);

% Step 2: Create Z values for (X,Y) pairs 
z = (x.*y.^3)./(1+y.^2);

% Step 3: Plot the contours
figure;
contour(x, y, z, [8/5 8/5], 'linewidth', 2);
title('Contour Plot for (xy^3)/(1+y^2) = 8/5');
xlabel('X');
ylabel('Y');
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This will generate a contour plot with a single contour line for the equation (xy^3)/(1+y^2) = 8/5.