Reconsider the space docking problem of Example 5.2, but now approximate the discrete time dynamical system x1 = kwx1 kcx2 x2 = x1 x2 by its continuous time analogue dx1 = kwx1 kcx2 dt dx2 =x1x2 dt (a) Show that the continuous time model has a stable equilibrium at (0,0). Assume w = 4,c = 10, and k = 0.02. (b) Solve the continuous model, using the method of eigenvalues and eigenvectors