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
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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
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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