Continuous-Time System:
a1 = 6, a0 = 2, b1 = -1, b0 = 8, 

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 = 1.63863, x(t) = 0
t = 1.63863, x(t) = -8
t = 2.60595, x(t) = -8
t = 2.60595, x(t) = -6
t = 7.03397, x(t) = -6
t = 7.03397, x(t) = -6
t = 7.29502, x(t) = -6
t = 7.29502, x(t) = 9
t = 8.37931, x(t) = 9
t = 8.37931, x(t) = 1
t = 8.42962, x(t) = 1
t = 8.42962, x(t) = 5
t = 8.5704, x(t) = 5
t = 8.5704, x(t) = 0
t = 13.4767, x(t) = 0

Discrete-Time System:
a0 = 4, a1 = -3, b0 = -2, b1 = 25, 
0 <= n < 9,  x[n] = 0
9 <= n < 11,  x[n] = 18
11 <= n < 13,  x[n] = 8
13 <= n < 15,  x[n] = 7
15 <= n < 29,  x[n] = 0

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