Continuous-Time System:
a1 = 18, a0 = 7, b1 = 9, b0 = -3, 

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 = 1.80068, x(t) = 0
t = 1.80068, x(t) = -20
t = 7.0711, x(t) = -20
t = 7.0711, x(t) = -3
t = 8.62368, x(t) = -3
t = 8.62368, x(t) = -11
t = 10.3825, x(t) = -11
t = 10.3825, x(t) = 1
t = 10.55, x(t) = 1
t = 10.55, x(t) = -7
t = 10.5749, x(t) = -7
t = 10.5749, x(t) = 0
t = 16.1171, x(t) = 0

Discrete-Time System:
a0 = -18, a1 = 13, b0 = 8, b1 = -13, 
0 <= n < 2,  x[n] = 0
2 <= n < 16,  x[n] = -17
16 <= n < 30,  x[n] = 0

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