a) Consider the difference equation yt+1(a+byt) = cyt, t = 0,1,, where a, positive constants, and yo > 0. Show that yt> 0 for all t. b) Define x, = 1/yt. Show that by using this substitution the equation turns into th form. c) Solve the difference equation yt+1 (2+3yt) = 4yt, assuming that of y, as t → [infinity]o? Yo = 1/2. What