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

To solve the equation (xy^3)/(1+y^2) = 8/5 using Matlab, we can use the fzero function in combination with a function handle. Here's an example code that solves the equation:

main.m
f = @(y) (8/5)*(1+y^2)/(y^3);
x = fzero(f, 1);
y = x;
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In this code, we define a function f that takes in a value of y and returns the corresponding value of x that satisfies the equation. We then use the fzero function to find the zero of this function f, starting from an initial guess of y=1. Finally, we set y=x to get the value of y that satisfies the equation.

Note that this solution assumes that there is only one solution to the equation. If there are multiple solutions, fzero may converge to a different solution depending on the initial guess.