7. Determine the inverse Laplace transform of the following functions. 1 1 b. s2 + 4 a. s+2 1 1 d. c. 2s2 +1 2 e. f. (s – 2)² + 9* 2s +1 g. (s – 1)2 +7 s+3 (s +1)2 +5 h. s2 - 2s + 2 i. s² + 2s + 5 j. 52 – 2s+ (17/4) 2s + 3 1 k. (s+ 4)3 2s - 4 1. (s – 3)2 4 1 m. n. (s – 1) * s2 +9 (s – 6)2 4s -2s 3se 0. s+2 P. s2 + 14' -3s se -4s e 9. г. s2 +4 s- 3 1- e -2 s+2 -2s S. t. e s2 +1 s2 – 4s + 8 s-5 -3s u. e s2 + 4s + 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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answer 7u only

7.
Determine the inverse Laplace transform of the following functions.
1
1.
b.
s2 +4
a.
s+2
1
1
d.
c.
2s2 +1
2
f.
(s +1)2 +5
1
е.
(s – 2)2 + 9*
2s +1
g.
(s – 1)2 + 7°
h.
s2 – 2s +2"
s+3
i.
s2 + 2s + 5
j.
s2 – 2s + (17/4)
2s + 3
k.
(s+ 4)3*
2s - 4
1.
1.
(s – 3)2
4
1
m.
(s – 1)2
n.
s2 +9
6)2
IS-
e-4s
0.
s+2
-2s
3se
P.
s2 + 14
-3s
se
-4s
e
q.
s2
r.
+4
3
-2a
1-
s+2
-2s
t. e
s.
s2 +1
g2 – 4s + 8
s-5
u. e-3s
s2 + 4s + 5
Transcribed Image Text:7. Determine the inverse Laplace transform of the following functions. 1 1. b. s2 +4 a. s+2 1 1 d. c. 2s2 +1 2 f. (s +1)2 +5 1 е. (s – 2)2 + 9* 2s +1 g. (s – 1)2 + 7° h. s2 – 2s +2" s+3 i. s2 + 2s + 5 j. s2 – 2s + (17/4) 2s + 3 k. (s+ 4)3* 2s - 4 1. 1. (s – 3)2 4 1 m. (s – 1)2 n. s2 +9 6)2 IS- e-4s 0. s+2 -2s 3se P. s2 + 14 -3s se -4s e q. s2 r. +4 3 -2a 1- s+2 -2s t. e s. s2 +1 g2 – 4s + 8 s-5 u. e-3s s2 + 4s + 5
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