Continuous-Time System:
a1 = 14, a0 = 17, b1 = 5, 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 = 1.837, x(t) = 0
t = 1.837, x(t) = 4
t = 3.98855, x(t) = 4
t = 3.98855, x(t) = 4
t = 4.54592, x(t) = 4
t = 4.54592, x(t) = -2
t = 4.60486, x(t) = -2
t = 4.60486, x(t) = -9
t = 6.80634, x(t) = -9
t = 6.80634, x(t) = 2
t = 8.13681, x(t) = 2
t = 8.13681, x(t) = -4
t = 8.1846, x(t) = -4
t = 8.1846, x(t) = 0
t = 16.4299, x(t) = 0

Discrete-Time System:
a0 = 12, a1 = -10, b0 = 6, b1 = 23, 
0 <= n < 4,  x[n] = 0
4 <= n < 6,  x[n] = 5
6 <= n < 7,  x[n] = 13
7 <= n < 9,  x[n] = -7
9 <= n < 13,  x[n] = -2
13 <= n < 18,  x[n] = 9
18 <= n < 30,  x[n] = 0

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