Partial Differential Equations

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Published on March 18, 2009

Author: Pokar

Source: slideshare.net

Description

Partial Differential Equations - Euler's theorems and its corrolaries

M-102 Unit- 2 Session Prepared by Mr. Kishor Pokar

Euler’s theorem for function of two variables Corollaries of Euler’s theorem Theorem on Total Differentials Corollary of Theorem on total differentials. Euler’s theorem for function of three variables. Topics Covered

Euler’s theorem for function of two variables

Corollaries of Euler’s theorem

Theorem on Total Differentials

Corollary of Theorem on total differentials.

Euler’s theorem for function of three variables.

Euler’s Theorem for homogeneous function of two variables

Proof:

 

Corollary – 1 Statement

 

 

Corollary – 2 Statement

Proof:-

Corollary - 3

Proof:

Theorem on Total Differentials

Proof:-

 

 

Corollary of Theorem on Total Differentials Let u and v be two functions of x and y. Then prove that

Let u and v be two functions of x and y. Then prove that

Proof:

Euler’s theorem for homogeneous function of three variables

Proof:-

 

 

 

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