write down a matlab code simulating population growth rate dx/dt against x. (note: r = 1.89 and k = 1000 in matlab

main.m
function population_growth()
    % setting parameters
    r = 1.89; % growth rate
    k = 1000; % carrying capacity
    tspan = [0 20]; % time span for simulation
    x0 = 100; % initial population
    
    % solve the differential equation
    [t,x] = ode45(@(t,x) r*x*(1-x/k), tspan, x0);
    
    % plot the population growth rate
    plot(t,x)
    xlabel('Time')
    ylabel('Population')
    title('Population Growth Rate')
end
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