f(t) = t² – 3t + 5 Ans. 5s2 – 3s + 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A.)

A.
LAPLACE TRANSFORMS OF ELEMENTARY FUNCTIONS
Find the Laplace transforms of each of the following functions:
1) f(t) = t² – 3t + 5
Ans.
5s2 - 3s + 2
s2 - 18
s(s? - 36)]
14
2) f(t)
= 2 cosh²3t
Ans. 2
3) f(t) = 7t² – te-4t
Ans.
%3D
(s + 4)²
s4 - 12s + 36
4) f(t)
= sinh 3t + cosh 3t – 2t
Ans.
s(s - 3)
5) f(t)
S - 2
(s 2)2 + 25
18
s4
= e2 cos 5t - 3t3
Ans.
Transcribed Image Text:A. LAPLACE TRANSFORMS OF ELEMENTARY FUNCTIONS Find the Laplace transforms of each of the following functions: 1) f(t) = t² – 3t + 5 Ans. 5s2 - 3s + 2 s2 - 18 s(s? - 36)] 14 2) f(t) = 2 cosh²3t Ans. 2 3) f(t) = 7t² – te-4t Ans. %3D (s + 4)² s4 - 12s + 36 4) f(t) = sinh 3t + cosh 3t – 2t Ans. s(s - 3) 5) f(t) S - 2 (s 2)2 + 25 18 s4 = e2 cos 5t - 3t3 Ans.
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