Assume that all the given functions have continuous second-order partial derivatives. ²+ s² and y If z = f(x, y), where x = a²z ər əs a²z əx² + = 8rs, find a²z/(ər Əs). (Compare with this example.) a²z a²z Әх ду dy² + + əz ду

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Assume that all the given functions have continuous second-order partial derivatives.
2
2
If z = f(x, y), where x = r² + s² and y
=
a²z
a²z
ər əs
ах2
+
8rs, find a²z/(ər Əs). (Compare with this example.)
a²z
a²z
Əy²
Әх ду
+
+
əz
ду
Transcribed Image Text:Assume that all the given functions have continuous second-order partial derivatives. 2 2 If z = f(x, y), where x = r² + s² and y = a²z a²z ər əs ах2 + 8rs, find a²z/(ər Əs). (Compare with this example.) a²z a²z Əy² Әх ду + + əz ду
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