Continuous-Time System:
a1 = 13, a0 = 2, b1 = -7, b0 = 9, 

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 = 2.89125, x(t) = 0
t = 2.89125, x(t) = -4
t = 3.53728, x(t) = -4
t = 3.53728, x(t) = 2
t = 5.97953, x(t) = 2
t = 5.97953, x(t) = 11
t = 8.78546, x(t) = 11
t = 8.78546, x(t) = -10
t = 9.06716, x(t) = -10
t = 9.06716, x(t) = 13
t = 9.10785, x(t) = 13
t = 9.10785, x(t) = -4
t = 9.49476, x(t) = -4
t = 9.49476, x(t) = 0
t = 16.1784, x(t) = 0

Discrete-Time System:
a0 = -25, a1 = 18, b0 = -43, b1 = 17, 
0 <= n < 4,  x[n] = 0
4 <= n < 7,  x[n] = -12
7 <= n < 8,  x[n] = 1
8 <= n < 11,  x[n] = -20
11 <= n < 16,  x[n] = 9
16 <= n < 17,  x[n] = 15
17 <= n < 18,  x[n] = 7
18 <= n < 30,  x[n] = 0

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