Find the Laplace transform of f (t) = te2t sin 6t 12s+24 |(s)²+36 12s-24 2 (s-2)° +36| 12s |(8–2)²+36| -24 2 [(0-2)°+36]

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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Find the Laplace transform of
f (t) = tet sin 6t
12s+24
+36
12s-24
2
[(6-2)² +36]
12s
|(s-2)² +36
-24
2
s–2)² +36
Transcribed Image Text:Find the Laplace transform of f (t) = tet sin 6t 12s+24 +36 12s-24 2 [(6-2)² +36] 12s |(s-2)² +36 -24 2 s–2)² +36
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