Question: Need help with the MATLAB code, thank you The growth rate for a growth model (Equation 38.1) can be re-written as 1/x dx/dt = r(x)

Need help with the MATLAB code, thank you The growth rate

Need help with the MATLAB code, thank you

The growth rate for a growth model (Equation 38.1) can be re-written as 1/x dx/dt = r(x) where r(x) = r(K - x)/K + ax. (By hand) Determine the equilibrium points and their stability via linearized analysis. Sketch the solutions. (By hand) Solve the differential equation assuming initial condition x(0) = x_0. (MATLAB) Set K = 2, a = 1, r = 0.5. Use the solution above to plot x(t) v. t. Note that you may have to use fzero. (MATLAB) Use ode45 to solve the equation. Superpose the plot of x(t)vt obtained from ode45 with the results from above

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