Continuous-Time System:
a1 = 19, a0 = 20, b1 = -2, b0 = 7, 

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 = 2.39659, x(t) = 0
t = 2.39659, x(t) = 9
t = 2.77062, x(t) = 9
t = 2.77062, x(t) = 13
t = 3.2073, x(t) = 13
t = 3.2073, x(t) = 2
t = 3.37342, x(t) = 2
t = 3.37342, x(t) = -1
t = 3.46035, x(t) = -1
t = 3.46035, x(t) = -3
t = 3.88205, x(t) = -3
t = 3.88205, x(t) = 0
t = 12.4173, x(t) = 0

Discrete-Time System:
a0 = -38, a1 = -27, b0 = -10, b1 = 16, 
0 <= n < 9,  x[n] = 0
9 <= n < 10,  x[n] = -3
10 <= n < 11,  x[n] = -12
11 <= n < 14,  x[n] = -11
14 <= n < 15,  x[n] = -0
15 <= n < 17,  x[n] = 13
17 <= n < 27,  x[n] = 0

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