# Homogeneous or not

• January 19th 2010, 11:52 AM
mathbee
Homogeneous or not
Hi

how i can check it is Homogeneous or not?

if expression in friction form??

$y = x+y/x$

thanks
• January 19th 2010, 03:35 PM
Jhevon
Quote:

Originally Posted by mathbee
Hi

how i can check it is Homogeneous or not?

if expression in friction form??

$y = x+y/x$

thanks

Let $y' = F(x,y)$

if $F(x,y) = F( \lambda x, \lambda y)$ where $\lambda$ is an arbitrary constant, then it is homogeneous.