Solution 2.9.4.9
F(s)=
A
s
+
B
s
2
+
C
s +1
:
A =
d
ds
s
2
F(s) j
s=0
=
d
ds
s ; 1
s +1
j
s=0
=
;(s ; 1)
(s +1)
2
+
1
(s +1)
j
s=0
= 2
B = s
2
F(s) j
s=0
=
(s ; 1)
s +1
j
s=0
= ;1:
C = = (s +1)F(s)j
s=;1
=
(s ; 1)
s
2
j
s=;1
= ;2:
f(t)=[2; t ; 2e
;t
]1(t):
1