2. Consider the model defined by x^{\prime}(t)=x(1-0.1 x-0.05 y) y^{\prime}(t)=y(1.7-0.1 y-0.15 x) (a) Find and classify the equilibrium points of this system. You can use a calculator/computer to help with

the computations! (b) Find the x and y nullclines for this system. You can use a calculator/computer to help with the computations! (c) Now, use "pplane.jar” and print the phase plane with the nullclines. In-order to see the nullclines, you might have to change the values of x-max,y-max, x-min, y-min in the “PPlane Equation Window", based on your answers to the previous part. To show the nullclines, go up to "Solution"then “Show Nullclines". Label then equilibrium points and print the phase plane with nullclines. (d) Using your phase plane, determine what happens to these two species in-the long run under the initial conditions x(0) = 1 and y(0) = 1. (e) Using your phase plane, determine what happens to these two species in the long run under the initial conditions x(0) = 4 and y(0) = 10.