Q5) a) Find Laplace transform of the function f (t) = cos(3t + 4) + e¬tu(t – 5) + tcosh²3t b) Find the Inverse Laplace transform for the following functions i) F(s) = ii) F (s) = (s + 2)(s² + 9), s² + 8s + 2.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Q5) a) Find Laplace transform of the function
f(t) = cos(3t + 4) + e¬tu(t – 5) + tcosh²3t
b) Find the Inverse Laplace transform for the following functions
i) F(s) =
(s + 2)(s² + 9)/
ii) F(s) =
(32 + 8s +2.
Transcribed Image Text:Q5) a) Find Laplace transform of the function f(t) = cos(3t + 4) + e¬tu(t – 5) + tcosh²3t b) Find the Inverse Laplace transform for the following functions i) F(s) = (s + 2)(s² + 9)/ ii) F(s) = (32 + 8s +2.
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