Continuous-Time System:
a1 = 16, a0 = 5, b1 = -2, 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 = 1.2385, x(t) = 0
t = 1.2385, x(t) = -8
t = 2.28725, x(t) = -8
t = 2.28725, x(t) = 22
t = 5.76649, x(t) = 22
t = 5.76649, x(t) = 3
t = 8.4064, x(t) = 3
t = 8.4064, x(t) = 13
t = 9.89671, x(t) = 13
t = 9.89671, x(t) = 0
t = 15.0897, x(t) = 0

Discrete-Time System:
a0 = 11, a1 = 9, b0 = 21, b1 = 14, 
0 <= n < 4,  x[n] = 0
4 <= n < 8,  x[n] = 14
8 <= n < 9,  x[n] = -0
9 <= n < 12,  x[n] = -4
12 <= n < 20,  x[n] = 8
20 <= n < 32,  x[n] = 0

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