Continuous-Time System:
a1 = 8, a0 = 19, b1 = -4, b0 = -5, 

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 = 3.37342, x(t) = 0
t = 3.37342, x(t) = -0
t = 3.41104, x(t) = -0
t = 3.41104, x(t) = -17
t = 5.77403, x(t) = -17
t = 5.77403, x(t) = 13
t = 7.50759, x(t) = 13
t = 7.50759, x(t) = -12
t = 7.81844, x(t) = -12
t = 7.81844, x(t) = 0
t = 15.5463, x(t) = 0

Discrete-Time System:
a0 = 20, a1 = 14, b0 = 19, b1 = 18, 
0 <= n < 3,  x[n] = 0
3 <= n < 8,  x[n] = 11
8 <= n < 11,  x[n] = -7
11 <= n < 18,  x[n] = 22
18 <= n < 30,  x[n] = 0

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