a) Consider the difference equation yr+1(a+by;) = cyt, t = 0,1,-, where a. positive constants, and yo > 0. Show that y, > 0 for all t. b) Define x, = 1/y, Show that by using this substitution the equation turns into ( form. c) Solve the difference equation yr +1 (2+3y. ) = 4yr, assuming that yo = 1/2 Wha of y, as t - co