(a) дz əz ər ?х (b) дz де (c) = = дz ər 02z ar de дz де дz ?х a2z ər 08 = + + əz ду дz ду + дz +9% + | 02z 0x2 + 02z ?у ?х
(a) дz əz ər ?х (b) дz де (c) = = дz ər 02z ar de дz де дz ?х a2z ər 08 = + + əz ду дz ду + дz +9% + | 02z 0x2 + 02z ?у ?х
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
Assume that all the given functions have continuous second-order partial derivatives. If z = f(x, y), where
x = 6r cos(?)
and
y = 6r sin(?),
find the following.
Transcribed Image Text:(a)
дz əz
ər
?х
(b)
дz
де
(c)
=
=
дz
ər
02z
ar de
дz
де
дz
?х
a2z
?r дв
=
+
+
əz
ау
дz
ду
+
дz
Yat
+
|
02z
0x2
+
a2z
?у ?х
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