if f(x) is a differential equation satisfying the equation (x÷y) ×f(x÷

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if f(x) is a differential equation satisfying the equation (x÷y) ×f(x÷y) = x×f(x) - y×f(y) for all x, y belongs to real number. f(e) = (1÷e). find f(x)

if f(x) is a differential equation satisfying the equation (x÷y) ×f(x÷y) = x×f(x) - y×f(y) for all x, y belongs to real number. f(e) = (1÷e). find f(x)

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