How can I get more than one solution with solve()?

This is my code:

syms x y;
vars = [x,y];
eqn = x^3 + y^2 == 0;
solve(eqn,vars, 'Real', true)

But it really gives me one solution: x=0 and y=0

Answer 1

[John D'Errico]

You have ONE equation, and TWO unknowns. There are infinitely many solutions. Do you expect MATLAB to generate them all? Get some coffee, a large cup, as this may take some time and memory.

Instead, the best you can do is to solve for one of the variables as a function of the other. For example, we might expect:

y = +/- sqrt(x^3);

which is what we get.

syms x y;
eqn = x^3 + y^2 == 0;

ysol = solve(eqn,y)
ysol =
 (-x)^(3/2)
-(-x)^(3/2)

Or, we could parameterize it for x as a function of y.

[Safwane Benbba]

Thank you. That was helpful.