Part A Using the program pplane1, plot the direction field and several solutions to the ordinary differential equations 1. The autonomous equation dr dt 2 The autonomous equation dz dt 3 The non-autonomous equation dz dt it is up to you to pick the range over which you plot in a and t in order to see the behavior graphics files (From the "Filosave as" menu in the figure window, no screenshots) And hand them in o 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? 4 Describe the long-term behavior of equation 3 in words Support your answer with math and graphs Part B See assignment here Download the MATLAB source by typing grabcode https:/web.njit.edu-goodman/Path222atl abla. html at the MATLAB prompt oe