Differential equations project! Please use Matlab and show your code. Thank you.

Part A Using the program pplane1, plot the direction field and several solutions to the ordinary differential equations 1. The autonomous equation dx =z_2sinz. dt 2. The autonomous equation dz 1 = z- sin z. dt 3. The non-autonomous equation dx dt It is up to you to pick the range over which you plot in and t in order to see the behavior. Print your answers to graphics files (From the "Filesave as" menu in the figure window, no screenshots). And hand them in on paper along with your answer to the following questions: 1. What are all the equilibria of equation 1? 2. Which of these are stable and which are unstable? 3. Why do the results look so different in equations 1 and 2? Support your answer with math and graphs. 4. Describe the long-term behavior of equation 3 in words