(2) If U = (1 – 2xy + y²)-³ prove that, x- = y?U® %3D
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:(2) If U = (1 – 2xy + y?)¯ prove that, x-
dy
Transcribed Image Text:(4) If z = f(, y) where, x = e" cos v and y = e“ sin v, show that
(i)
dz
az
dz
+ x
dy
(ii)
2-
az
dz
dz
-2u
= e
+
dv
ду.
du
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