Matlab Question. Please include code as well as answers. Thank you. Use built in matlab ode45

The system da dy is the famous Lorenz system. It was developed as a model for weather prediction, but it has since become famous because its solutions display chaotic behavior. (a) Let b-8/3, s 10, and r 27. Use initial conditions (0)4, y(0) 5, and z(0-10. Use ode45 to solve this system on 0 t 30, Plot x(t). (b) Change one of the initial conditions by 0.1, and solve it again. How do the two solutions for r(t) compare? This is an example of the chaotic behavior of this systern of equations. They ac conce fly c)ItemPen eaNV (c) Plot the 3D trajectory. Use the plot3 command with the (t), g(t), and z(t) arrays as arguments. You will see the famous Lorenz strange attractor. Rotate it around a bit, and turn in a plot of an angle you like