Evaluate the inverse Laplace transforms of the following: 1 4 1. L s+9 s- 5 20 1 7 2. s+3 5s –3 6s – 5 - 3. L | 4s² +7] | 3s – 2 -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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Evaluate the inverse Laplace transforms of the following:
4
1.
L
s+9
S-5
20
1
7
2.
s+3
5s – 3
6s – 5
3.
| 4s² +7]
3s – 2
-1
4.
s² +8s+25,
s+7
5.
s(s² – 3s – 10)
NTL
6. L1
sL+n?n²]
7
Determine the solution to the I.V.P. y"+7y'+12y=21e*,y(0)=-,y'(0)=-10 .
7.
Transcribed Image Text:Evaluate the inverse Laplace transforms of the following: 4 1. L s+9 S-5 20 1 7 2. s+3 5s – 3 6s – 5 3. | 4s² +7] 3s – 2 -1 4. s² +8s+25, s+7 5. s(s² – 3s – 10) NTL 6. L1 sL+n?n²] 7 Determine the solution to the I.V.P. y"+7y'+12y=21e*,y(0)=-,y'(0)=-10 . 7.
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