If f, g, and h are f A(x) = (xf)' (x²f)" A'(x) = f f' (x³f")" differentiable 8 (xg)' (x²g)" functions of x and h (xh)', prove that (x²h)" h g' h' (x³g") (x³h")" 00 00 8 9 where prime()
If f, g, and h are f A(x) = (xf)' (x²f)" A'(x) = f f' (x³f")" differentiable 8 (xg)' (x²g)" functions of x and h (xh)', prove that (x²h)" h g' h' (x³g") (x³h")" 00 00 8 9 where prime()
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:Iff, g, and h are differentiable functions of x and
f
A(x) = (xf)'
(x²f)"
8
(xg)'
(x²g)"
f
f'
(x³f")
denotes the derivatives.
A'(x) =
8
8'
(x³g")"
h
(xh)'
(x²h)"
, prove that
h
h'
(x³h")"
2
where prime()
Le
gl
ar
A
re
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