2s² +3 $³+25s O None of them O 3/2 +(4/5) sin5t O 31/5 +(77/25) tan5t O 3/25 +(47/25) cos5t

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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Question
*
L-1
2s²+3
s³ +25s
None of them
O 3/2 +(4/5) sin5t
*
31/5 +(77/25) tan5t
O 3/25 +(47/25) cos5t
Let f(t):
(0 if 0≤ t <3
t-1 if 3 st
By using the definition of the Laplace transform we find that L{f(t)} is equal
to:
O e^(-2s) [2/s+1/s^(2)]
O e^(-3s) [2/s-1/s^(2)]
O e^(-3s) [(2/s)+1/s^(2 ) ]
None of them
Transcribed Image Text:* L-1 2s²+3 s³ +25s None of them O 3/2 +(4/5) sin5t * 31/5 +(77/25) tan5t O 3/25 +(47/25) cos5t Let f(t): (0 if 0≤ t <3 t-1 if 3 st By using the definition of the Laplace transform we find that L{f(t)} is equal to: O e^(-2s) [2/s+1/s^(2)] O e^(-3s) [2/s-1/s^(2)] O e^(-3s) [(2/s)+1/s^(2 ) ] None of them
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