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
Problem 1RQ
Related questions
Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff650a158-d3e9-4396-958d-f5b31c67ca5e%2Fc6f3978e-ee83-4b25-a7bd-23fccec7931a%2Fp19xa5f_processed.png&w=3840&q=75)
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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