(§3.3e Exercise 4) If z = f(x, y) and § = y(x, y), n = y(x, y), show that det (32) det (3) and provided det d(૬,n) a(x, y) €0. Əz Οξ дz an || det a(ε,z) a(x,y) det (3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(§3.3e Exercise 4) If z = f(x, y) and § = y(x, y), n = (x, y), show that
(of
and
provided det
a(§, n)
Ə(x, y)
‡0.
Əz
дz
αξ det ( a(ε,n)
Ə(x,y)
Ən
=
det
=
a(z,n)
Ə(x,y)
det
d(૬,૮)
૭(૬,n)
Ə(x,y)
det (
Transcribed Image Text:(§3.3e Exercise 4) If z = f(x, y) and § = y(x, y), n = (x, y), show that (of and provided det a(§, n) Ə(x, y) ‡0. Əz дz αξ det ( a(ε,n) Ə(x,y) Ən = det = a(z,n) Ə(x,y) det d(૬,૮) ૭(૬,n) Ə(x,y) det (
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