Continuous-Time System:
a1 = 10, a0 = 3, b1 = -3, 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 = 3.49774, x(t) = 0
t = 3.49774, x(t) = 5
t = 4.92874, x(t) = 5
t = 4.92874, x(t) = -10
t = 6.71869, x(t) = -10
t = 6.71869, x(t) = -16
t = 7.06454, x(t) = -16
t = 7.06454, x(t) = 1
t = 8.01946, x(t) = 1
t = 8.01946, x(t) = 0
t = 14.1958, x(t) = 0

Discrete-Time System:
a0 = 35, a1 = 31, b0 = -11, b1 = 1, 
0 <= n < 6,  x[n] = 0
6 <= n < 7,  x[n] = 2
7 <= n < 11,  x[n] = -2
11 <= n < 13,  x[n] = 11
13 <= n < 18,  x[n] = 2
18 <= n < 32,  x[n] = 0

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