dz Given z = 3 – xy + 4y?, x = 3u + 2v, y = 3u – 2v. Using the chain rule find 5.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given \( z = 3x^2 - xy + 4y^2 \), \( x = 3u + 2v \), \( y = 3u - 2v \). Using the chain rule, find \(\frac{\partial z}{\partial u}\).
Transcribed Image Text:Given \( z = 3x^2 - xy + 4y^2 \), \( x = 3u + 2v \), \( y = 3u - 2v \). Using the chain rule, find \(\frac{\partial z}{\partial u}\).
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