1. Find the total derivative dz/dy, given (a) z= f(x, y) = 5x + xy – y², where x = 9(y) = 3 y2 (b) z= 4x2 – 3xy+ 2y², where x = 1/y (c) z= (x + y)(x - 2y), where x = 2– 7y %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Find the total derivative dz/dy, given
(a) z= f(x, y) = 5x + xy – y², where x = 9(y) = 3 y2
(b) z= 4x2 – 3xy+ 2y², where x = 1/y
(c) z= (x + y)(x - 2y), where x = 2– 7y
%3D
Transcribed Image Text:1. Find the total derivative dz/dy, given (a) z= f(x, y) = 5x + xy – y², where x = 9(y) = 3 y2 (b) z= 4x2 – 3xy+ 2y², where x = 1/y (c) z= (x + y)(x - 2y), where x = 2– 7y %3D
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