4s +4 (c) Find the inverse Laplace transform of Y(s) — ² + 4s +13) (d) Find the inverse Laplace transform of Y(s) = s² +4 Simplify your final answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Part C and D 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)=4e¹-4te-2 +21²e-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)=4e¹-4te-2 +21²e-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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