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

To plot the equation (xy^3)/(1+y^2) = 8/5 in MATLAB, we can use the ezplot function, which allows us to visualize a single-variable or two-variable equation.

First, we need to rewrite the equation as a function of x and y:

f = @(x,y) (x.*y.^3)./(1+y.^2) - 8/5;
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Here, x and y are the input variables and f is the output variable, which represents the left-hand side of the equation minus the right-hand side.

Next, we can use the ezplot function to plot the equation over a specific range of x and y:

ezplot(f, [-5, 5, -5, 5]);
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Here, [-5, 5, -5, 5] specifies the range of x and y values that we want to plot.

Putting it all together, we have:

% Define the function
f = @(x,y) (x.*y.^3)./(1+y.^2) - 8/5;

% Plot the equation
ezplot(f, [-5, 5, -5, 5]);
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This code will produce a visualization of the equation (xy^3)/(1+y^2) = 8/5 in MATLAB.