Continuous-Time System:
a1 = 21, a0 = 13, b1 = -6, 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 = 2.06443, x(t) = 0
t = 2.06443, x(t) = -4
t = 3.17891, x(t) = -4
t = 3.17891, x(t) = 14
t = 4.99632, x(t) = 14
t = 4.99632, x(t) = 12
t = 5.35916, x(t) = 12
t = 5.35916, x(t) = 17
t = 9.8163, x(t) = 17
t = 9.8163, x(t) = 10
t = 10.4207, x(t) = 10
t = 10.4207, x(t) = 0
t = 15.7343, x(t) = 0

Discrete-Time System:
a0 = 28, a1 = 26, b0 = -7, b1 = 14, 
0 <= n < 9,  x[n] = 0
9 <= n < 10,  x[n] = 2
10 <= n < 13,  x[n] = -0
13 <= n < 15,  x[n] = -5
15 <= n < 17,  x[n] = 1
17 <= n < 30,  x[n] = 0

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