Utilize the rth-backword difference equations to simulate the following systems on a digital computer. e(s) s(5+1) 1. g(s) = c(s) - 2(5+2) 2. g(s) = c(s) = 105 uu e() s2+s+1 3. g(s) = c(s) - 10 (+4) e e(s) 52+2 5+2 4. g(s) = c($) - 10 g(s) = e(5) 52+5+1 a) solve for c(kt). b) if e(t) = 2u-1(t), determine appropriate value of t for accurately evaluating values of c(t) at t = kt. c) with e(t) = 2u-1(t), find the response of a system c(t).