Using ode45 in MATLAB, or solve_ivp in Python (or any other Python package of your choice),...

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Using ode45 in MATLAB, or solve_ivp in Python (or any other Python package of your choice), solve the following set of ordinary differential equations and plot the solution. dx - dt =2 (1+10kx) - dy 298-y = 75kx + dt 10 k = 0.001 exp (-8000 (-13-298)) Plot the time trajectories of x and y. Case 1: Use the following initial conditions: x(0) = 0.2; y(0) = 350. Simulate from t 0 tot 100. Case 2: Use the following initial conditions: x(0) = 0.25; y(0) = 400. Simulate from t = 0 tot 100. Note that the steady state changes with initial condition! Using ode45 in MATLAB, or solve_ivp in Python (or any other Python package of your choice), solve the following set of ordinary differential equations and plot the solution. dx - dt =2 (1+10kx) - dy 298-y = 75kx + dt 10 k = 0.001 exp (-8000 (-13-298)) Plot the time trajectories of x and y. Case 1: Use the following initial conditions: x(0) = 0.2; y(0) = 350. Simulate from t 0 tot 100. Case 2: Use the following initial conditions: x(0) = 0.25; y(0) = 400. Simulate from t = 0 tot 100. Note that the steady state changes with initial condition!