If log(x2+y2)=2tan−1(xy), show that dxdy=x−yx+y

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Question

$If lo g (x^{2} + y^{2}) = 2 tan^{- 1} (\frac{y}{x}), show that \frac{d y}{d x} = \frac{x + y}{x - y}$

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If lo g (x^{2} + y^{2}) = 2 tan^{- 1} (\frac{y}{x}), show that \frac{d y}{d x} = \frac{x + y}{x - y}

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Question Text

If lo g (x^{2} + y^{2}) = 2 tan^{- 1} (\frac{y}{x}), show that \frac{d y}{d x} = \frac{x + y}{x - y}