Tìm $f:\mathbb{R}\rightarrow \mathbb{R}$ thỏa mãn
$f(x+y)+f(x-y)-2f(x)(1+y)=2xy(3y-x^{2}),\forall x,y\in \mathbb{R}$
Edited by duaconcuachua98, 04-11-2014 - 21:21.
Tìm $f:\mathbb{R}\rightarrow \mathbb{R}$ thỏa mãn
$f(x+y)+f(x-y)-2f(x)(1+y)=2xy(3y-x^{2}),\forall x,y\in \mathbb{R}$
Edited by duaconcuachua98, 04-11-2014 - 21:21.
Tìm $f:\mathbb{R}\rightarrow \mathbb{R}$ thỏa mãn
$f(x+y)+f(x-y)-2f(x)(1+y)=2xy(3y-x^{2}),\forall x,y\in \mathbb{R} \quad{(1)}$
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