euler's method in matlab

main.m
% Define the function f(x,y)
f = @(x,y) x^2 + y^2;

% Define the initial values
x0 = 0;
y0 = 0.5;

% Define step size and number of iterations
h = 0.1;
n = 5;

% Euler's Method
for i = 1:n
    y(i+1) = y(i) + h*f(x(i),y(i));
    x(i+1) = x(i) + h;
end

% Plot the solution curve
plot(x,y)
title("Euler's Method Solution")
xlabel("x")
ylabel("y")
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