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AUSTRIAN-POLISH 1979 Problem 4

    Determine all functions f:N0→Rf : N_0 \to R satisfying f(x+y)+f(x−y)=f(3x)f (x+y)+ f (x-y)= f (3x) for all x,yx,y .

    Dataset text AI-MO AoPS. Quoted with source.

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