Continuous-Time System:
a1 = 14, a0 = 8, b1 = 5, 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 = 1.14869, x(t) = 0
t = 1.14869, x(t) = 21
t = 1.433, x(t) = 21
t = 1.433, x(t) = 14
t = 2.80262, x(t) = 14
t = 2.80262, x(t) = 10
t = 3.00465, x(t) = 10
t = 3.00465, x(t) = -7
t = 4.8979, x(t) = -7
t = 4.8979, x(t) = 11
t = 5.42868, x(t) = 11
t = 5.42868, x(t) = -2
t = 8.19358, x(t) = -2
t = 8.19358, x(t) = 0
t = 14.1824, x(t) = 0

Discrete-Time System:
a0 = -6, a1 = -5, b0 = -9, b1 = -6, 
0 <= n < 6,  x[n] = 0
6 <= n < 7,  x[n] = -22
7 <= n < 8,  x[n] = 7
8 <= n < 17,  x[n] = -22
17 <= n < 27,  x[n] = 0

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