calcule the first 2 interations of x and y using newton metod considering the equations: x^2+y^2=4 and y =e^x-2 in matlab in matlab

main.m
% Define the equations
syms x y
eq1 = x^2 + y^2 - 4;
eq2 = y - exp(x) + 2;

% Initialize the initial guess
x0 = 1; % Initial guess for x
y0 = 1; % Initial guess for y

% Set the maximum number of iterations and tolerance
maxIterations = 2;
tolerance = 1e-6;

% Perform Newton's method iterations
for iteration = 1:maxIterations
    % Evaluate the equations and their Jacobian matrix at the current point
    f = [subs(eq1, [x, y], [x0, y0]);
         subs(eq2, [x, y], [x0, y0])];
    J = jacobian(f, [x, y]);

    % Solve the linear system J*delta = -f to get the correction
    delta = linsolve(double(J), -double(f));

    % Update the current point
    x0 = x0 + delta(1);
    y0 = y0 + delta(2);

    % Check the convergence criterion
    if norm(delta) < tolerance
        break;
    end
end

% Display the results
iteration
xSol = x0
ySol = y0
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