Question 3. Consider the following Lotka-Volterra system. X = -3X + 4XY + XX Y = -6Y - 5 XY + YY 3.1 Determine the both trivial and non-trivial steady states (10 points). 3.2. Calculate the Jacobian matrix of the system (5 points). 3.3. Show the stability of the system using the Jacobian matrix, trace, determinant, and eigenvalues (10 points). 3.4. Provide one time-plot and the corresponding phase-plot of the system to depict the stability of the system for the trivial state. Implement the plots in PLAS and provide screenshots. Assume initial values are 0.1 for both X and Y and run the simulation from to=0 to tf=5 using a time resolution of hr=0.1. Manually draw an additional arrow on top of the phase-plot to show the direction of convergence to stable steady state (10 points)