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The condition for not independent of the functions

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Independence and relations
Real Analysis
Jacobians (II)

If u = (x + y)/z, v = (y + z)/x, w = y(x + y + z)/xz
Show that u,v,w are not independent. Also find the relation between u,v and w.

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This shows how to find the relation between u,v and w where u,v,w are not independent. It also explains for the condition of not independent
by using the Jacobian of the functions. The solution is detailed and well presented.

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The solution of the Posting is in the attached ...

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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