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\( \frac{d y}{d x}+\frac{\sqrt{\left(x^{2}-1\right)\left(y^{2}-1\right)}}{x y}=0 \)

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in Differentiation by (20 points)
\( \frac{d y}{d x}+\frac{\sqrt{\left(x^{2}-1\right)\left(y^{2}-1\right)}}{x y}=0 \)
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