Continuous-Time System:
a1 = 15, a0 = 8, b1 = 6, b0 = 5, 

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 = 1.32751, x(t) = 0
t = 1.32751, x(t) = 12
t = 3.26995, x(t) = 12
t = 3.26995, x(t) = 3
t = 4.44218, x(t) = 3
t = 4.44218, x(t) = -10
t = 6.09647, x(t) = -10
t = 6.09647, x(t) = 1
t = 8.13714, x(t) = 1
t = 8.13714, x(t) = -15
t = 8.24502, x(t) = -15
t = 8.24502, x(t) = 6
t = 8.703, x(t) = 6
t = 8.703, x(t) = 0
t = 14.1542, x(t) = 0

Discrete-Time System:
a0 = 17, a1 = 15, b0 = 6, b1 = 29, 
0 <= n < 10,  x[n] = 0
10 <= n < 11,  x[n] = -2
11 <= n < 15,  x[n] = -13
15 <= n < 16,  x[n] = -10
16 <= n < 18,  x[n] = 6
18 <= n < 29,  x[n] = 0

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