Apply (3) to establish the formula for the Laplace transform of an integral, F(p) L|f(x)dx 1. and verify this by finding 1 L-1 [P(p+1)_
Apply (3) to establish the formula for the Laplace transform of an integral, F(p) L|f(x)dx 1. and verify this by finding 1 L-1 [P(p+1)_
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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Transcribed Image Text:5. Apply (3) to establish the formula for the Laplace transform of an
integral,
F(p)
Lf(x)dx
and verify this by finding
1
L-1
p(p+1)
![Lly]= Je™"3
-px,
'y'dx
ye Px
+
-px
e
'y dx
= -y(0)+ pL[y],
SO
L[y] = pL[y] – y(0).
(3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe25f92a2-1c4d-41a3-af19-0cdf00d27604%2F8993e2ee-2abd-4ea3-a9b6-7cab8c32e0d1%2Fhipw8pj_processed.png&w=3840&q=75)
Transcribed Image Text:Lly]= Je™"3
-px,
'y'dx
ye Px
+
-px
e
'y dx
= -y(0)+ pL[y],
SO
L[y] = pL[y] – y(0).
(3)
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