Real Analysis : Jacobian of Implicit Functions
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Independence and relations
Real Analysis
Jacobians (XXVI)
Jacobian of Implicit Functions
If lemda, mu, nu are the roots of the equation in k,
[x/(a + k)] +[y/(b + k)] + [z/(c + k)] = 1,
prove that del(x,y,z)/del(lemda,mu,nu) = -[(mu - nu)(nu - lemda)(lemda - mu)]/[(b - c)(c - a)(a - b)]
The fully formatted problem is in the attached file.
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Solution Summary
Jacobian of Implicit Functions are investigated. The solution is detailed and well presented.
Solution Preview
The equation in k can be written as
x(b + k)(c + k) + y(a + k)(c + k) + z(a + k)(b + k) = (a + k)(b + k)(c + k).
The main solution of the Posting is in the attached file.
Real Analysis
Jacobians (XXVI)
By:- Thokchom Sarojkumar Sinha
If are the roots of the equation in ,
,
prove that
Solution:- The equation in can be written as
...
Education
- BSc, Manipur University
- MSc, Kanpur University
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