IF (x-y)f(x+y)-(x+y)f(x-y)=4xy(x+y)(x-y)for all x,y find f(x).

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Sourabh Singh · Answer

mycroft holmes · Answer

Let a = (x+y), b = (x-y) then Then the equation can be written as b f(a) – a f(b) = ab (a 2 -b 2 ). Setting b = 1, we get f(a) – a f(1) = a 3 -a Let f(1) = k, then f(a) = a 3 +(k-1)a

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IF (x-y)f(x+y)-(x+y)f(x-y)=4xy(x+y)(x-y)for all x,y find f(x).

IF (x-y)f(x+y)-(x+y)f(x-y)=4xy(x+y)(x-y)for all x,y find f(x).

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