b) L[(t² +51)U3(1)] (544 2 (5²+4)² 11

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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Problem 1b
1. Determine the Laplace transform.
a) L[tsin(2t)] = -d
ds
b) L[(t² +51)U3(1)]
S²+4
2
((S²+4) (0) -(2) (25 +0)
(S²+4)²
-(0-45)
(5²+4)²
+ =
45
(5²+4)²
Transcribed Image Text:1. Determine the Laplace transform. a) L[tsin(2t)] = -d ds b) L[(t² +51)U3(1)] S²+4 2 ((S²+4) (0) -(2) (25 +0) (S²+4)² -(0-45) (5²+4)² + = 45 (5²+4)²
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