9.2 Show that: (a) L[sinh ax] = a p²-a² P> 0. 72 3√6 +-. pº 2p5/2 p " (b) L[3x² - 2x³/2 +6]: = (c) L[sin x cos x] = 1/(p² + 4).
9.2 Show that: (a) L[sinh ax] = a p²-a² P> 0. 72 3√6 +-. pº 2p5/2 p " (b) L[3x² - 2x³/2 +6]: = (c) L[sin x cos x] = 1/(p² + 4).
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
![9.2 Show that:
a
p²-a²
(b) L[3x4 - 2x³/2 +6]
(a) L[sinh ax] =
=
72
pº
(c) L[sin x cos x] = 1/(p² + 4).
(d) If
then
P> 0.
3√6
·+-.
2p5/2 p
=
f(x) =
[x, 0<x<4
15,
x>4
L[f(x) =
1
p
+
-4p
Р
e
-4p
p²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c89c405-f93a-4003-a1db-9b8dddaaba84%2Fd2c78ce6-2fde-4f9e-ba52-7ad368c30b44%2Fgpjlhjc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9.2 Show that:
a
p²-a²
(b) L[3x4 - 2x³/2 +6]
(a) L[sinh ax] =
=
72
pº
(c) L[sin x cos x] = 1/(p² + 4).
(d) If
then
P> 0.
3√6
·+-.
2p5/2 p
=
f(x) =
[x, 0<x<4
15,
x>4
L[f(x) =
1
p
+
-4p
Р
e
-4p
p²
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