Continuous-Time System:
a1 = 3, a0 = 4, b1 = 8, 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 = 4.36071, x(t) = 0
t = 4.36071, x(t) = 4
t = 6.1189, x(t) = 4
t = 6.1189, x(t) = -2
t = 7.46531, x(t) = -2
t = 7.46531, x(t) = -0
t = 8.51664, x(t) = -0
t = 8.51664, x(t) = -6
t = 9.82865, x(t) = -6
t = 9.82865, x(t) = 0
t = 16.2744, x(t) = 0

Discrete-Time System:
a0 = -15, a1 = -14, b0 = -12, b1 = -27, 
0 <= n < 7,  x[n] = 0
7 <= n < 11,  x[n] = 2
11 <= n < 13,  x[n] = -8
13 <= n < 14,  x[n] = 1
14 <= n < 20,  x[n] = -6
20 <= n < 32,  x[n] = 0

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