Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t d)f()=43e-21 e)f (1)=4sin(at +b), where a and b are constants. Q.2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10 26 – s? a) s(s? + 4s + 13) Q.3) Prove that L- ) = (coshat sinat + sinhat cosat)
Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t d)f()=43e-21 e)f (1)=4sin(at +b), where a and b are constants. Q.2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10 26 – s? a) s(s? + 4s + 13) Q.3) Prove that L- ) = (coshat sinat + sinhat cosat)
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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![Q.1) Find the Laplace transform of the following:
a) f (1)=3sin2 21
b) f (1)=3 +°
c) f (1)=2cos2t
d)f()=43e-21
e)f (1)=4sin(at +b), where a and b are constants.
Q.2) Find the inverse Laplace transform of
(s + 1)
b)
s2 + 2s + 10
26 – s?
a)
s(s? + 4s + 13)
Q.3) Prove that L- ) = (coshat sinat + sinhat cosat)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d3308ef-8b36-4f84-a345-b3083c8e5c69%2F1ea31c64-6aa9-4e6a-83e9-8db05f804c27%2F47giiao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q.1) Find the Laplace transform of the following:
a) f (1)=3sin2 21
b) f (1)=3 +°
c) f (1)=2cos2t
d)f()=43e-21
e)f (1)=4sin(at +b), where a and b are constants.
Q.2) Find the inverse Laplace transform of
(s + 1)
b)
s2 + 2s + 10
26 – s?
a)
s(s? + 4s + 13)
Q.3) Prove that L- ) = (coshat sinat + sinhat cosat)
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