23. F(s) = 5s² + 34s + 53 (s+3)²(s+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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Determine inverse laplace #23 & 25 please.
(s-3) (s²+2s+2)
In Problems 21-30, determine £¹{F}.
6s²-13s +2
21. F(s) =
22. F(s) =
23. F(s) =
24. F(s) =
25. F(s):
=
s(s-1)(s-6)
s+11
(S-1)(s+3)
26. F(s) =
=
5s² + 34s + 53
(s+3)²(s+1)
75²²-41s +84
(S-1) (s²-4s +13)
7s²2² +23s + 30
(s-2) (s²+2s+5)
75³-25²-3s +6
S³ (S-2)
27. sF(s)-4F(s) =
29. sF(s) +2F(s)
30. sF(s)-F(s)
28. sF(s) + SF(s) - 6F(s) =
=
FIA-
5
s+1
=
+4
3+s
10s² + 12s + 14
²-2s+2
2s +5
²+2s +1
31. Determine the Laplace transform of each of the follow-
ing functions:
fo. 1=2,
Transcribed Image Text:(s-3) (s²+2s+2) In Problems 21-30, determine £¹{F}. 6s²-13s +2 21. F(s) = 22. F(s) = 23. F(s) = 24. F(s) = 25. F(s): = s(s-1)(s-6) s+11 (S-1)(s+3) 26. F(s) = = 5s² + 34s + 53 (s+3)²(s+1) 75²²-41s +84 (S-1) (s²-4s +13) 7s²2² +23s + 30 (s-2) (s²+2s+5) 75³-25²-3s +6 S³ (S-2) 27. sF(s)-4F(s) = 29. sF(s) +2F(s) 30. sF(s)-F(s) 28. sF(s) + SF(s) - 6F(s) = = FIA- 5 s+1 = +4 3+s 10s² + 12s + 14 ²-2s+2 2s +5 ²+2s +1 31. Determine the Laplace transform of each of the follow- ing functions: fo. 1=2,
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