Continuous-Time System:
a1 = 9, a0 = 17, b1 = -4, b0 = -5, 

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 = 4.92949, x(t) = 0
t = 4.92949, x(t) = -7
t = 6.0323, x(t) = -7
t = 6.0323, x(t) = 12
t = 6.8047, x(t) = 12
t = 6.8047, x(t) = 1
t = 7.56922, x(t) = 1
t = 7.56922, x(t) = -5
t = 8.07873, x(t) = -5
t = 8.07873, x(t) = -5
t = 8.78967, x(t) = -5
t = 8.78967, x(t) = 0
t = 14.681, x(t) = 0

Discrete-Time System:
a0 = 10, a1 = -7, b0 = -36, b1 = 3, 
0 <= n < 6,  x[n] = 0
6 <= n < 7,  x[n] = -12
7 <= n < 10,  x[n] = 4
10 <= n < 14,  x[n] = -6
14 <= n < 24,  x[n] = 0

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