sin(t + a) cos(t + a) 3 dt 8. f(t) = e 2t 0.

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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Question
Find the Laplace transform of:
1. f(t) = e(3t-7) cos³(6t)
2. f(t) = v1+ sin t + (7t)14 + t² sin 2t
Find the inverse transform of the given functions:
4s2 -4s+1
1. F(s)
(s³-4s2+s+6)(s²+5)
3s-6
5s
2. F(s) =
3
-5
-s
%3D
-.
--
(s2+2s+5)
s2 +7
solve last evaluate using
lapace transform
Evaluate using Laplace Transform, find a:
f (t) = Sin(t +a) cos(t + a)
e 2t
f(t) =
3
-dt
8
%3D
Transcribed Image Text:Find the Laplace transform of: 1. f(t) = e(3t-7) cos³(6t) 2. f(t) = v1+ sin t + (7t)14 + t² sin 2t Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) (s³-4s2+s+6)(s²+5) 3s-6 5s 2. F(s) = 3 -5 -s %3D -. -- (s2+2s+5) s2 +7 solve last evaluate using lapace transform Evaluate using Laplace Transform, find a: f (t) = Sin(t +a) cos(t + a) e 2t f(t) = 3 -dt 8 %3D
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