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D. We consider a variable y which depends on 2 variables x and p according to the formula: y = y (x,p) We also assume that the variable x is related to p and y in the following way: x = f (p,y) Calculate the derivative of y with respect to x according to the 4 partial derivatives that are known: au aur a am ox' op dy ap >

D. We consider a variable y which depends on 2 variables x and p according to the formula: y = y (x,p) We also assume that the variable x is related to p and y in the following way: x = f (p,y) Calculate the derivative of y with respect to x according to the 4 partial derivatives that are known: au aur a am ox' op dy ap >

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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D. We consider a variable y which depends on 2 variables x and p according to the formula: y = y (x,p) We also assume that the variable x is related to p and y in the following way: x = f (p,y) Calculate the derivative of y with respect to x according to the 4 partial derivatives that are known: au au Ə x > am > > op Oy Op
Transcribed Image Text:D. We consider a variable y which depends on 2 variables x and p according to the formula: y = y (x,p) We also assume that the variable x is related to p and y in the following way: x = f (p,y) Calculate the derivative of y with respect to x according to the 4 partial derivatives that are known: au au Ə x > am > > op Oy Op
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