Ecuatie functionala

Moderators: Filip Chindea, Andrei Velicu, Radu Titiu

Post Reply
alex2008
Leibniz
Posts: 464
Joined: Sun Oct 19, 2008 3:23 pm
Location: Tulcea

Ecuatie functionala

Post by alex2008 »

Sa se determine toate functiile \( f:\mathbb{R}\rightarrow \mathbb{R} \) astfel incat :

\(
f(f(x )+f( y)+2xy)=xf( y)+yf( x ) \)
. A snake that slithers on the ground can only dream of flying through the air.
Top
Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Post by Marius Mainea »

\( f(x)=0 \)
Last edited by Marius Mainea on Wed Sep 09, 2009 7:32 pm, edited 2 times in total.
Top
alex2008
Leibniz
Posts: 464
Joined: Sun Oct 19, 2008 3:23 pm
Location: Tulcea

Post by alex2008 »

\( f(x)=0 \) nu este solutie unica. Mai este o solutie :D

Se pot posta macar si cateva idei ? Nu am vazut decat o rezolvare de cateva pagini la problema asta.
. A snake that slithers on the ground can only dream of flying through the air.
Top
Post Reply

Return to “Clasa a X-a”