) 34 , find au aк (enteX) The end resurt is known: 2xy 2х (x*+yoy -2xy (x*ty=ja

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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Question
) 34
, find au
aк
(enteX)
The end resurt is known:
2xy
2х
(x*+yoy
-2xy
(x*ty=ja
Transcribed Image Text:) 34 , find au aк (enteX) The end resurt is known: 2xy 2х (x*+yoy -2xy (x*ty=ja
Expert Solution
Step 1

Partially differentiate with respect to x.

(x* + x')(x*)-x
(x² + y²)*
2x(x + y? )- x² (2x)
) + و(
تم+ y*)
du
ةx
ةx
2.x + 2xy? – 2x
(x' + y*}
2.xy²
) +ر(
Step 2

Partially differentiate with respect to y.

(x* + y°) (x*)-x*(x° + y*)
(x° + y*)}°
0-x² (2y)
(x² + x*)}°
-2x'y
(x* + y°)'
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ôy
ôu
ây
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