(a) (-1 2 [s(s4 — 1)]

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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Question
Manipulations of the Transform
17. Find the following inverse Laplace transforms.
2
(a) L-¹ [5(5²²_
st²-1)]
s² +49]
(d) L-¹
-In-
2s
(g) L-¹[arccot s]
s²+25
s+31
s+1,
54
(b) L-1 In-
(c) L-1
(e) L-1 In-
(h) L¹[s arccots - 1]
(f) L1
√√s² + 1
s+4
s² + 4s +13]
s² + 4s + 5
In-
In
Transcribed Image Text:Manipulations of the Transform 17. Find the following inverse Laplace transforms. 2 (a) L-¹ [5(5²²_ st²-1)] s² +49] (d) L-¹ -In- 2s (g) L-¹[arccot s] s²+25 s+31 s+1, 54 (b) L-1 In- (c) L-1 (e) L-1 In- (h) L¹[s arccots - 1] (f) L1 √√s² + 1 s+4 s² + 4s +13] s² + 4s + 5 In- In
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