Sum for euler’s theorem

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This document discusses Euler's theorem and provides an example function u in terms of x and y. It asks to evaluate the expression x^2y^2 + 2xy^2 + y^2 for the given function u. The correct option is given as 8xy.

Sum for Euler’s Theorem
By GAHAN SARAIYA
CE-A,GEC-Gn

If
u = f
푦
푥
+ 푥∅
푥
푦
+ 4푥푦
Then what is the value of
푥2 휕2푢
휕푥2 + 2푥푦
휕2푢
휕푥휕푦
+ 푦2 휕2푢
휕푦2

Options
4xy
A
8xy
B
8푥2 C None of
these
D

Sum for euler’s theorem

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Sum for euler’s theorem

1. Sum for Euler’s Theorem By GAHAN SARAIYA CE-A,GEC-Gn

2. If u = f 푦 푥 + 푥∅ 푥 푦 + 4푥푦 Then what is the value of 푥2 휕2푢 휕푥2 + 2푥푦 휕2푢 휕푥휕푦 + 푦2 휕2푢 휕푦2

3. Options 4xy A 8xy B 8푥2 C None of these D