Evaluate the Laplace transform of the function f(t) e-3s s+1 -3S e s+3 Tu Tu a. + b. + e-3s C. + e³ (s+1) 이응te e-3s d. + + S e³ (s+3) e. None of the choices + T|" + + 415 To E s -4 for 0 < t <1 0 for 1 < t <3 et for t≥ 3

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 Laplace transform of the function f(t)
-3S
e
a.
+
+
s+1
-35
e
b.
s+3
-3S
e
C.
e³ (s+1)
e-35
d.+e
S
е +
S
e³ (s+3)
e. None of the choices
S
T
S
+s
4
-S
+-e +
+
+
SI5
-4 for 0 < t < 1
0
for 1 < t <3
e-t for t≥ 3
Transcribed Image Text:Evaluate the Laplace transform of the function f(t) -3S e a. + + s+1 -35 e b. s+3 -3S e C. e³ (s+1) e-35 d.+e S е + S e³ (s+3) e. None of the choices S T S +s 4 -S +-e + + + SI5 -4 for 0 < t < 1 0 for 1 < t <3 e-t for t≥ 3
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