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If ysqrt(x^2+1)=log(sqrt(x^2+)1-x), show...

If `ysqrt(x^2+1)=log(sqrt(x^2+)1-x), show that(x^2+1)(dy)/(dx)+x y+1=0`

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To solve the given problem, we start with the equation: \[ y \sqrt{x^2 + 1} = \log(\sqrt{x^2 + 1} - x) \] We need to differentiate both sides with respect to \(x\) and then manipulate the resulting equation to show that: ...
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