animate an ode in matlab

main.m
% Define the ODE function
f = @(t,y) -y;

% Set the initial conditions and time span
y0 = 1;
tspan = [0, 10];

% Solve the ODE using ode45
[t,y] = ode45(f, tspan, y0);

% Set up a figure and axis for the animation
fig = figure();
ax = axes('XLim',[tspan(1) tspan(2)], 'YLim',[min(y) max(y)]);
xlabel('Time');
ylabel('Solution');

% Loop over the time steps and update the plot
for i=1:length(t)
    % Update the plot with the current solution
    plot(ax, t(1:i), y(1:i), 'LineWidth', 2);
    title(ax, sprintf('Time = %.2f', t(i)));
    
    % Pause for a short interval to slow down the animation
    pause(0.1);
end
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