Transform F(s) (giving you cos 5t + t³

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Laplace Transforms
S
a) Using first principles show that Laplace transform F(s)for f(t) = cos 5t
=
s²+52
b) Using table find Laplace Transform F(s) (giving your answer in most simplified form) of
e³t sin(4t) – e-2t cos 5t + t³
c) Using Laplace transforms and trigonometric identities, find the Laplace transforms of
sin²2t
Transcribed Image Text:4. Laplace Transforms S a) Using first principles show that Laplace transform F(s)for f(t) = cos 5t = s²+52 b) Using table find Laplace Transform F(s) (giving your answer in most simplified form) of e³t sin(4t) – e-2t cos 5t + t³ c) Using Laplace transforms and trigonometric identities, find the Laplace transforms of sin²2t
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