that tlir system is not linear and tiiw-invnriaiit at tlu.. b~ ritticr one of the two, arid it is not possible to say w1iic.h.
Trang 1Appendix A Solritiolts t,o t,he Excrciscs 467
~ o l u t i Q i ~ 1.6
vlic know from 3 that tlir system is not linear and tiiw-invnriaiit at tlu barne
h i e It c.oiild however b~ ritticr one of the two, arid it is not possible to say w1iic.h
olutiori 2.1
a) Show that
Q L
2 = 0
rlt' d ( t - r)
Substitutiiig vmiahles 1' = 2 - 1 + - - = - - - 1 3 dr' = d f ' i e.,
d t dt
the sulxtitution leads to thc above equation
1)) Tf 91 is the spstwn response to r1 and s/2 the response t o x2: