Continuous-Time System:
a1 = 2, a0 = 11, b1 = -3, 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 = 1.38267, x(t) = 0
t = 1.38267, x(t) = -4
t = 2.17721, x(t) = -4
t = 2.17721, x(t) = 3
t = 7.05118, x(t) = 3
t = 7.05118, x(t) = 3
t = 7.57264, x(t) = 3
t = 7.57264, x(t) = 13
t = 8.02129, x(t) = 13
t = 8.02129, x(t) = 0
t = 12.7943, x(t) = 0

Discrete-Time System:
a0 = 10, a1 = -9, b0 = 21, b1 = -41, 
0 <= n < 8,  x[n] = 0
8 <= n < 9,  x[n] = -2
9 <= n < 10,  x[n] = 2
10 <= n < 12,  x[n] = 15
12 <= n < 13,  x[n] = -3
13 <= n < 18,  x[n] = 1
18 <= n < 29,  x[n] = 0

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