Continuous-Time System:
a1 = 21, a0 = 7, b1 = -2, b0 = 7, 

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 = 1.62853, x(t) = 0
t = 1.62853, x(t) = 2
t = 3.96785, x(t) = 2
t = 3.96785, x(t) = 3
t = 4.16223, x(t) = 3
t = 4.16223, x(t) = 18
t = 6.71562, x(t) = 18
t = 6.71562, x(t) = -3
t = 7.22386, x(t) = -3
t = 7.22386, x(t) = 0
t = 11.8203, x(t) = 0

Discrete-Time System:
a0 = 11, a1 = 9, b0 = 29, b1 = -22, 
0 <= n < 3,  x[n] = 0
3 <= n < 8,  x[n] = -2
8 <= n < 11,  x[n] = -9
11 <= n < 12,  x[n] = -1
12 <= n < 15,  x[n] = -17
15 <= n < 27,  x[n] = 0

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