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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)

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
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)
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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