aw For the functions w = xy + yz + xz, x=u+3v, y=u-3v, and z= uv, express du ow and using the chain rule and by expressing w directly in terms of u and v av before differentiating. Then evaluate dw ди ow and at the point (u,v) = Əv 23
aw For the functions w = xy + yz + xz, x=u+3v, y=u-3v, and z= uv, express du ow and using the chain rule and by expressing w directly in terms of u and v av before differentiating. Then evaluate dw ди ow and at the point (u,v) = Əv 23
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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Transcribed Image Text:K
aw
For the functions w = xy + yz + xz, x=u+ 3v₁ y=u-3v, and z= uv, express au
ow
and using the chain rule and by expressing w directly in terms of u and v
dv
before differentiating. Then evaluate
aw
ow
Express and as functions of u and v.
Əv
du
ow
av
aw
ди
= 2u(1+2v)
11
ow
ди
and
ow
ov
at the point (u, v) =
13
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