Continuous-Time System:
a1 = 5, a0 = 8, b1 = 7, b0 = 6, 

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 = 1.4952, x(t) = 0
t = 1.4952, x(t) = 7
t = 1.71165, x(t) = 7
t = 1.71165, x(t) = 2
t = 2.09655, x(t) = 2
t = 2.09655, x(t) = 5
t = 2.58449, x(t) = 5
t = 2.58449, x(t) = -5
t = 3.74333, x(t) = -5
t = 3.74333, x(t) = 21
t = 6.6585, x(t) = 21
t = 6.6585, x(t) = 0
t = 11.7133, x(t) = 0

Discrete-Time System:
a0 = 29, a1 = -25, b0 = 50, b1 = 28, 
0 <= n < 7,  x[n] = 0
7 <= n < 8,  x[n] = -27
8 <= n < 11,  x[n] = -3
11 <= n < 13,  x[n] = 1
13 <= n < 16,  x[n] = 0
16 <= n < 18,  x[n] = -6
18 <= n < 30,  x[n] = 0

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