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If z = f(x, y), where x = r cos , y = r sin , show that 8²% əx² 8² z 8²% 10z 1 8²z + + + მ2 Ər² r² 20² 2 rər -

If z = f(x, y), where x = r cos , y = r sin , show that 8²% əx² 8² z 8²% 10z 1 8²z + + + მ2 Ər² r² 20² 2 rər -

Advanced Engineering Mathematics
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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If z = f(x, y), where x = r cos , y = r sin , show that 8²% 8² z + əx² Əy² 8² z Ər² + 1 8²z r² 20² + 18z rər
Transcribed Image Text:If z = f(x, y), where x = r cos , y = r sin , show that 8²% 8² z + əx² Əy² 8² z Ər² + 1 8²z r² 20² + 18z rər
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