Continuous-Time System:
a1 = 8, a0 = 15, b1 = -3, b0 = 10, 

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 = 2.31465, x(t) = 0
t = 2.31465, x(t) = 3
t = 3.55723, x(t) = 3
t = 3.55723, x(t) = 4
t = 4.78311, x(t) = 4
t = 4.78311, x(t) = 5
t = 7.08142, x(t) = 5
t = 7.08142, x(t) = -6
t = 8.70087, x(t) = -6
t = 8.70087, x(t) = 0
t = 15.6169, x(t) = 0

Discrete-Time System:
a0 = 29, a1 = 24, b0 = -35, b1 = -23, 
0 <= n < 4,  x[n] = 0
4 <= n < 7,  x[n] = 0
7 <= n < 13,  x[n] = -8
13 <= n < 14,  x[n] = -5
14 <= n < 17,  x[n] = -8
17 <= n < 32,  x[n] = 0

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