2. Use a table of Laplace transforms to find the Laplace inverse of the given functions. a)Y(s): b)Y(s) c)Y (s) = d)Y(s) = = 1 2s+3 4s+5 s²+16 3 s6 2 (s+4)³ 9-5s s²+36

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Use a table of Laplace transforms to find the Laplace inverse of the given
functions.
1
=
a)Y(s)
b)Y(s) = 48+5
2s+3
s²+16
9-5s
c) Y (s) = 3 s²+36
2
d)Y(s) = (+4)
(s+4)³
5
e)Y (s) = (s+4)²+100
1
f)Y (s)
= (s+1)(S-2)
10s-7
g)Y(s) = 28²-s
h)Y(s) =
i)Y (s)
k)Y(s)
=
=
9-s
s²+s-2
2s²+9s+11
(s+1)(s²+4s+5)
4
(s+1)²(s² −25)
Transcribed Image Text:2. Use a table of Laplace transforms to find the Laplace inverse of the given functions. 1 = a)Y(s) b)Y(s) = 48+5 2s+3 s²+16 9-5s c) Y (s) = 3 s²+36 2 d)Y(s) = (+4) (s+4)³ 5 e)Y (s) = (s+4)²+100 1 f)Y (s) = (s+1)(S-2) 10s-7 g)Y(s) = 28²-s h)Y(s) = i)Y (s) k)Y(s) = = 9-s s²+s-2 2s²+9s+11 (s+1)(s²+4s+5) 4 (s+1)²(s² −25)
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