EXERCISES In each of the Exercises 1 through 3, use residues to find the inverse Laplace transform f (t) corresponding to the given function F(s). Do this in a formal way, without full justification, 1. F(s) = 253 $4 - 4 S Ans. f (t) = cosh √√2t+ cos √√√2t. 0= li Reso li zz dz {+1 VI li R 23³ (s-√2) So√ (572) (3-2) २ Idz\ +11 =li SPB 45 ལ (St)(S√)
EXERCISES In each of the Exercises 1 through 3, use residues to find the inverse Laplace transform f (t) corresponding to the given function F(s). Do this in a formal way, without full justification, 1. F(s) = 253 $4 - 4 S Ans. f (t) = cosh √√2t+ cos √√√2t. 0= li Reso li zz dz {+1 VI li R 23³ (s-√2) So√ (572) (3-2) २ Idz\ +11 =li SPB 45 ལ (St)(S√)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please use L'Hospital's rule or the method pasted in the second image to solve this pro
![EXERCISES
In each of the Exercises 1 through 3, use residues to find the inverse Laplace transform f (t)
corresponding to the given function F(s). Do this in a formal way, without full justification,
1. F(s) =
253
$4 - 4
S
Ans. f (t) = cosh √√2t+ cos √√√2t.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6389447-1237-4af0-b5c6-eb1260425b55%2F62ee898e-37d7-4f5c-b4c9-b5d250b6280f%2Fe9l29sf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:EXERCISES
In each of the Exercises 1 through 3, use residues to find the inverse Laplace transform f (t)
corresponding to the given function F(s). Do this in a formal way, without full justification,
1. F(s) =
253
$4 - 4
S
Ans. f (t) = cosh √√2t+ cos √√√2t.
![0=
li
Reso
li
zz dz
{+1
VI
li
R
23³ (s-√2)
So√ (572) (3-2)
२
Idz\
+11
=li
SPB 45
ལ
(St)(S√)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6389447-1237-4af0-b5c6-eb1260425b55%2F62ee898e-37d7-4f5c-b4c9-b5d250b6280f%2Fudj2gk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:0=
li
Reso
li
zz dz
{+1
VI
li
R
23³ (s-√2)
So√ (572) (3-2)
२
Idz\
+11
=li
SPB 45
ལ
(St)(S√)
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