Find the Laplace transforms of the following functions: (a) f(t)=e³t sin 2t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the Laplace transforms of the following functions:
(a) f(t)=e³¹ sin 2t
(b)
(c)
g(t)= t³e²¹
(b)
h(t) = {²
Find the inverse Laplace transforms of the following functions:
2S-5
(a)
2-t 0≤t≤2
otherwise
F(s) =
G(s) =
S +9
s+4
S² + S
Transcribed Image Text:Find the Laplace transforms of the following functions: (a) f(t)=e³¹ sin 2t (b) (c) g(t)= t³e²¹ (b) h(t) = {² Find the inverse Laplace transforms of the following functions: 2S-5 (a) 2-t 0≤t≤2 otherwise F(s) = G(s) = S +9 s+4 S² + S
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