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√)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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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.
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√)
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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