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2. (a) Find the Laplace transform of the function f(t)=4e¹-4te-2 +21²e-3t 0 (b) Find the Laplace transform of the function g(t) = -{e e cost for 0≤t<, for # < t < 0.

2. (a) Find the Laplace transform of the function f(t)=4e¹-4te-2 +21²e-3t 0 (b) Find the Laplace transform of the function g(t) = -{e e cost for 0≤t<, for # < t < 0.

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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Part A and B needed Needed to be solved correctly in 20 minutes and get the thumbs up please show me neat and clean work for it
2. (a) Find the Laplace transform of the function f(t)=4e-4te-2 +2t²e-3t. (b) Find the Laplace transform of the function g(t) = (c) Find the inverse Laplace transform of Y(s) = {e cost 4s+4 $²+4s +13 for 0 ≤t<, for # < t < 0. (d) Find the inverse Laplace transform of Y(s) = Simplify your final answer. e-* s² +4
Transcribed Image Text:2. (a) Find the Laplace transform of the function f(t)=4e-4te-2 +2t²e-3t. (b) Find the Laplace transform of the function g(t) = (c) Find the inverse Laplace transform of Y(s) = {e cost 4s+4 $²+4s +13 for 0 ≤t<, for # < t < 0. (d) Find the inverse Laplace transform of Y(s) = Simplify your final answer. e-* s² +4
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