Continuous-Time System:
a1 = 20, a0 = 2, b1 = -6, 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 = 4.33924, x(t) = 0
t = 4.33924, x(t) = 4
t = 5.15546, x(t) = 4
t = 5.15546, x(t) = -3
t = 6.765, x(t) = -3
t = 6.765, x(t) = 5
t = 7.32833, x(t) = 5
t = 7.32833, x(t) = -12
t = 8.50505, x(t) = -12
t = 8.50505, x(t) = 0
t = 10.5335, x(t) = 0
t = 10.5335, x(t) = 0
t = 15.8925, x(t) = 0

Discrete-Time System:
a0 = 26, a1 = 20, b0 = -30, b1 = -12, 
0 <= n < 7,  x[n] = 0
7 <= n < 9,  x[n] = 8
9 <= n < 12,  x[n] = -2
12 <= n < 13,  x[n] = 7
13 <= n < 17,  x[n] = -10
17 <= n < 27,  x[n] = 0

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