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

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If log {({x}^{{2}}+{y}^{{2}})}={t}{a}{n}^{{-{1}}} {({{y}}{{x}}

Question

If log $(x^{2} + y^{2}) = t a n^{- 1} (\frac{y}{x}),$ then show that $\frac{d y}{d x} = \frac{x + y}{x - y}$

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Levi Discussed

If log

(x^{2} + y^{2}) = t a n^{- 1} (\frac{y}{x}),

then show that

\frac{d y}{d x} = \frac{x + y}{x - y}

11 mins ago

Discuss this question LIVE

11 mins ago

Question Text

If log

(x^{2} + y^{2}) = t a n^{- 1} (\frac{y}{x}),

then show that

\frac{d y}{d x} = \frac{x + y}{x - y}