Continuous-Time System:
a1 = 3, a0 = 7, b1 = 1, b0 = 3, 

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 = 5.21436, x(t) = 0
t = 5.21436, x(t) = -4
t = 5.68432, x(t) = -4
t = 5.68432, x(t) = -7
t = 7.59343, x(t) = -7
t = 7.59343, x(t) = 7
t = 7.83079, x(t) = 7
t = 7.83079, x(t) = 5
t = 7.87341, x(t) = 5
t = 7.87341, x(t) = 0
t = 13.395, x(t) = 0

Discrete-Time System:
a0 = 26, a1 = -24, b0 = -27, b1 = -12, 
0 <= n < 7,  x[n] = 0
7 <= n < 10,  x[n] = 13
10 <= n < 12,  x[n] = 16
12 <= n < 14,  x[n] = -19
14 <= n < 24,  x[n] = 0

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