Suggest a two-dimensional system of the form
xn+1 = axn +byn
yn+1 = cxn + dyn
a) If 1 - d - (cb/(1 - a)) does not equal 0, show that the only equilibrium point is (0,0).
b) If 1 - d - (cb/(1 - a)) = 0, show that any point of the form (x, (x(1 - a)/b) is an equilibrium point.