Find the inverse laplace transform of: 6. F(s) es.s(n+1) 6tn-1 f (t) = u (t – 1) (n+1)! f (t) = (t – 1)"| u (t – 1) 6 n! f (t) = 3 t(n+1) u (n+1)! u(t – 1) f (t) 3t(n+1) -и (t — 1) n!

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 inverse laplace transform of:
F (s)
es.s(n+1)
6tn-1
f (t)
u (t – 1)
(n+1)!
f (t) = [÷(t – 1)"] u (t – 1)
6
-
n!
t(n+1) u (t – 1)
(n+1)!
3
f (t)
f (t)
3t(n+1)
u (t – 1)
n!
Transcribed Image Text:Find the inverse laplace transform of: F (s) es.s(n+1) 6tn-1 f (t) u (t – 1) (n+1)! f (t) = [÷(t – 1)"] u (t – 1) 6 - n! t(n+1) u (t – 1) (n+1)! 3 f (t) f (t) 3t(n+1) u (t – 1) n!
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