Perform the following inverse transformations -3s + (s²+75 12 1) L¬1 s-5) (3s+17' 2) L-1 s2-7 (s+1) 3) L-1 - (s-3)(s+3) L replaces L for the rest of materials.
Perform the following inverse transformations -3s + (s²+75 12 1) L¬1 s-5) (3s+17' 2) L-1 s2-7 (s+1) 3) L-1 - (s-3)(s+3) L replaces L for the rest of materials.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Ex. convolution
1
Find L-1
6-)72) Let F(s) == & G(s) =
L-1: f(t) = 1
1
[shifting of -
%3D
(s-4)2
g(t) = te4t
L-1{F(s)G(s)} = 1 * tet = S, 1. aet“ da [Note:f(t) = 1 & f(t – a) = 1]
%3D
%3D
%3D
%3D
Integrate by parts
e4a
= a -
0 4 da
e4t
1
t eta
aeta
%3D
e ta
-16
16
tet
4
16
16
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdda41748-7115-4a96-bbe5-5cc759d2bdb9%2F6f2a59d7-3fa4-45fb-8ba3-f7a5567a62e2%2Fjw10nmk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ex. convolution
1
Find L-1
6-)72) Let F(s) == & G(s) =
L-1: f(t) = 1
1
[shifting of -
%3D
(s-4)2
g(t) = te4t
L-1{F(s)G(s)} = 1 * tet = S, 1. aet“ da [Note:f(t) = 1 & f(t – a) = 1]
%3D
%3D
%3D
%3D
Integrate by parts
e4a
= a -
0 4 da
e4t
1
t eta
aeta
%3D
e ta
-16
16
tet
4
16
16
II
Transcribed Image Text:Perform the following inverse transformations
-3s
1) L¬1
12
+
(s²+75
s-5)
3s+17
s2-7.
(s+1)
l(s-3)(s+3)
2) L-1 **"
3) L¬1
-
L replaces L for the rest of materials.
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