Continuous-Time System:
a1 = 13, a0 = 14, b1 = -3, b0 = 2, 

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 = 1.53905, x(t) = 0
t = 1.53905, x(t) = -15
t = 5.22483, x(t) = -15
t = 5.22483, x(t) = 3
t = 6.08819, x(t) = 3
t = 6.08819, x(t) = -9
t = 7.30077, x(t) = -9
t = 7.30077, x(t) = 11
t = 8.87037, x(t) = 11
t = 8.87037, x(t) = 0
t = 16.0655, x(t) = 0

Discrete-Time System:
a0 = 20, a1 = 14, b0 = -28, b1 = -10, 
0 <= n < 10,  x[n] = 0
10 <= n < 11,  x[n] = -18
11 <= n < 12,  x[n] = 26
12 <= n < 15,  x[n] = 3
15 <= n < 18,  x[n] = 11
18 <= n < 32,  x[n] = 0

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