USAMO 2002 Problem 4

For discussing Olympiad Level Algebra (and Inequality) problems
User avatar
Phlembac Adib Hasan
Posts:1016
Joined:Tue Nov 22, 2011 7:49 pm
Location:127.0.0.1
Contact:
USAMO 2002 Problem 4

Unread post by Phlembac Adib Hasan » Fri Oct 26, 2012 11:25 am

Find all functions $f:\mathbb R\to \mathbb R$ such that\[f(x^2-y^2)=xf(x)-yf(y)\]

Hint:
Welcome to BdMO Online Forum. Check out Forum Guides & Rules

User avatar
Tahmid Hasan
Posts:665
Joined:Thu Dec 09, 2010 5:34 pm
Location:Khulna,Bangladesh.

Re: USAMO 2002 Problem 4

Unread post by Tahmid Hasan » Fri Oct 26, 2012 8:08 pm

বড় ভালবাসি তোমায়,মা

Post Reply