Continuous-Time System:
a1 = 20, a0 = 17, b1 = -9, b0 = -8, 

Your excitation signal x(t) consists of straight lines connecting these points.
It has been zero up until the first time and is zero after the last time.

t = 1.86584, x(t) = 0
t = 1.86584, x(t) = -8
t = 2.48476, x(t) = -8
t = 2.48476, x(t) = -1
t = 2.60479, x(t) = -1
t = 2.60479, x(t) = -6
t = 4.5852, x(t) = -6
t = 4.5852, x(t) = -7
t = 7.74894, x(t) = -7
t = 7.74894, x(t) = -20
t = 8.17724, x(t) = -20
t = 8.17724, x(t) = 0
t = 15.4026, x(t) = 0

Discrete-Time System:
a0 = 7, a1 = 5, b0 = 16, b1 = -7, 
0 <= n < 5,  x[n] = 0
5 <= n < 6,  x[n] = -4
6 <= n < 9,  x[n] = 9
9 <= n < 10,  x[n] = -1
10 <= n < 11,  x[n] = 5
11 <= n < 30,  x[n] = 0

x[n] has been zero up until the first time and is zero after the last time.