1 INVERSE TRANSFORMS 1 7. L-1. s2 1 1 + s - 2 1 8. L-1 In Problems 1-30 use appropriate algebra to find the given inverse Laplace transform. S S s + 8 1 9. L-1 1 10. L-1. 4s + 1 5s – 2 1. L-! 2. L-1! 5 10s 11. L-1. 12. L-1 s² + 49] s2 + 16 1 3. L-1, 48 4. L-1! 4s 14. L-1!. 4s2 + 1 s3 13. L-1 1 S 4s2 + 1 (s + 5. L-1, (s + 2)²] 2s – 6 6. L-1. s + 1 15. L-1 s2 16. L-1. + 9 + 2
1 INVERSE TRANSFORMS 1 7. L-1. s2 1 1 + s - 2 1 8. L-1 In Problems 1-30 use appropriate algebra to find the given inverse Laplace transform. S S s + 8 1 9. L-1 1 10. L-1. 4s + 1 5s – 2 1. L-! 2. L-1! 5 10s 11. L-1. 12. L-1 s² + 49] s2 + 16 1 3. L-1, 48 4. L-1! 4s 14. L-1!. 4s2 + 1 s3 13. L-1 1 S 4s2 + 1 (s + 5. L-1, (s + 2)²] 2s – 6 6. L-1. s + 1 15. L-1 s2 16. L-1. + 9 + 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Do problems 3, 5, 8, 14, 15, 19, 24, 27, 29
![1 INVERSE TRANSFORMS
1
7. L-1.
s2
1
1
+
s – 2
1
8. L-1.
In Problems 1–30 use appropriate algebra
to find the given inverse Laplace transform.
S
S
s + 8
1
9. L-1
1
10. L-1.
4s + 1
5s – 2
1. L-!
2. L-1.
5
10s
11. L-1.
12. L-!
|s² + 49]
s2 + 16
1
3. L-1,
48
4. L-1
4s
13. L-!
1
14. L-1
S
4s2 + 1
4s2 + 1
(s +
5. L-1
(s + 2)²]
2s – 6
6. L-1!
s + 1
15. L-1!
s2
16. L-1.
+ 9
+ 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b89a09c-6e39-4856-860f-296a7674c0ed%2F92fc0a0e-534a-48e6-a2d5-a7a72d4ebbb7%2F7vt2m6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1 INVERSE TRANSFORMS
1
7. L-1.
s2
1
1
+
s – 2
1
8. L-1.
In Problems 1–30 use appropriate algebra
to find the given inverse Laplace transform.
S
S
s + 8
1
9. L-1
1
10. L-1.
4s + 1
5s – 2
1. L-!
2. L-1.
5
10s
11. L-1.
12. L-!
|s² + 49]
s2 + 16
1
3. L-1,
48
4. L-1
4s
13. L-!
1
14. L-1
S
4s2 + 1
4s2 + 1
(s +
5. L-1
(s + 2)²]
2s – 6
6. L-1!
s + 1
15. L-1!
s2
16. L-1.
+ 9
+ 2
![1
17. L-1.
18. L-1!
2
s + 1
2 + 3s
4s
1
19. L-!
20. L-1.
+ 2s – 3
+ s - 20
-
0.9s
21. L-1,
(s
0.1)(s + 0.2)
-
- 3
22. L-'
|(s
V3)(s + V3)J
S
23. L-1.
|(s – 2)(s – 3)(s -
6).
s2 + 1
24. L-1.
|s(s
1)(s + 1)(s - 2)]
1
25. L-1
26. L-1.
s3 + 5s
(s + 2)(s² + 4)]
2s – 4
27. L-1
1
28. L-1.
|(s² + s)(s² + 1)]
9
-
1
6s + 3
29. L-1.
30. L-1
(s² + 1)(s² + 4).
s4 + 5s² + 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b89a09c-6e39-4856-860f-296a7674c0ed%2F92fc0a0e-534a-48e6-a2d5-a7a72d4ebbb7%2Fzu00vyl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
17. L-1.
18. L-1!
2
s + 1
2 + 3s
4s
1
19. L-!
20. L-1.
+ 2s – 3
+ s - 20
-
0.9s
21. L-1,
(s
0.1)(s + 0.2)
-
- 3
22. L-'
|(s
V3)(s + V3)J
S
23. L-1.
|(s – 2)(s – 3)(s -
6).
s2 + 1
24. L-1.
|s(s
1)(s + 1)(s - 2)]
1
25. L-1
26. L-1.
s3 + 5s
(s + 2)(s² + 4)]
2s – 4
27. L-1
1
28. L-1.
|(s² + s)(s² + 1)]
9
-
1
6s + 3
29. L-1.
30. L-1
(s² + 1)(s² + 4).
s4 + 5s² + 4
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