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"If "log(x^(2)+y^(2))=2tan^(-1)""((y)/(x...

`"If "log(x^(2)+y^(2))=2tan^(-1)""((y)/(x))," show that "(dy)/(dx)=(x+y)/(x-y)`

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To solve the problem, we need to differentiate the given equation and show that \(\frac{dy}{dx} = \frac{x+y}{x-y}\). Let's go through the steps systematically. ### Step 1: Start with the given equation We are given: \[ \log(x^2 + y^2) = 2 \tan^{-1}\left(\frac{y}{x}\right) \] ...
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