2. Find the equilibria for the differential equation and determine the values of a # 0 for which each equilibrium is locally stable: (a) y' = 1 +ay (b) y' = ae cosy, 0 > y where r # 0 and K > 0. (a) Show that y = 0 and y = K are equilibria and determine the values for r that make the equilibrium y = 0 unstable. (b) What do you get when you apply the local stability criterion to the equilibrium y = K? Sketch the phase plots for the cases r > 0 and r