Find X and Y using matlab

X=y^2 2y-x^2=-2

Answer 1

[Star Strider]

Use fsolve and a bit of algebra:

f = @(x,y) [y.^2 - x; 2.*y-x.^2 + 2];
XY0 = [1; 1];
XY = fsolve(@(b) f(b(1),b(2)), XY0);

There are several solutions. Experiment with ‘XY0’ to find all of them.

Answer 2

[MSP]

First you have to make a function like this in a certain directory

function F=eqn(k)
    x=k(1);
    y=k(2);
    F(1)=y^2-x;
    F(2)=2*y-x^2+2;
end

Name the function as eqn and save it

Then in that same directory(folder) run this coode from command window or a file if you want to.Make sure that the directory is same, If confused use

cd('----your folder path-------')

The code goes here

kl=[2;78]           %imagine values of x and y to be any number 
  k=fsolve(@eqn,zg)   %solve nonlinear function by this
  x=k(1)              %the first value returned is of x and the other of y as defined earlier in eqn function
  y=k(2)