Continuous-Time System:
a1 = 18, a0 = 6, b1 = -7, b0 = 6, 

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 = 1.43137, x(t) = 0
t = 1.43137, x(t) = -2
t = 2.19132, x(t) = -2
t = 2.19132, x(t) = -4
t = 2.42688, x(t) = -4
t = 2.42688, x(t) = 17
t = 2.65558, x(t) = 17
t = 2.65558, x(t) = -9
t = 3.1832, x(t) = -9
t = 3.1832, x(t) = -4
t = 6.11106, x(t) = -4
t = 6.11106, x(t) = -0
t = 7.54227, x(t) = -0
t = 7.54227, x(t) = 0
t = 14.509, x(t) = 0

Discrete-Time System:
a0 = 18, a1 = 15, b0 = -6, b1 = -16, 
0 <= n < 5,  x[n] = 0
5 <= n < 6,  x[n] = 7
6 <= n < 11,  x[n] = 2
11 <= n < 14,  x[n] = 5
14 <= n < 29,  x[n] = 0

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