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I am unable to solve this question sirs,

$$\frac{dy}{dx} = \dfrac{-x\sqrt{1+x^2}}{y\sqrt{1+y^2}}$$

no way futher Please help.

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1 Answer 1

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This equation is separable. Rewrite as $$y\sqrt{1+y^2}\,dy=-x\sqrt{1+x^2}\,dx,$$ integrate both sides, and solve for $y$. Don't forget that you'll need a constant of integration on one side.

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