Question

If F(u) is a homogeneous function of degree n in x and y,then show dat
x*(del u/delx)+y*(del u/del y)=n*[F(u)/F'(u)]

Answer 1

This?\[
x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=n\frac{F(u)}{F'(u)}
\]

Answer 2

yes this one we have to prove

Answer 3

Hmmm, may be something like chain rule would help? \[
F'(u)\frac{\partial u}{\partial x}=F_x(u)
\]

Answer 4

I'm not completely sure. Are there any interesting theorems that were introduce recently in the class?

Answer 5

yes euler's theorem

Answer 6

dis s a question of partial derivative

Answer 7

Can you state Euler's theorem?

Answer 8

if f(x,y,z) be a homogeneous function of degree n,then