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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).
Dear Student,we can write it as f(x+y/(x+y) – f(x-y)/ (x-y) = 4xy = (x+y)2 – (x-y)2f(x+y/(x+y) – (x+y)2 =f(x-y)/ (x-y) – (x-y)2 = k (say)Now replace x by (x+y)/2 and y by (x-y)2You will get the answer from here.Thanks.
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