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The equation of the curve that passes through the point \( (1,2) \) and satisfies the differential equation
PIV \( \frac{d y}{d x}=\frac{-2 x y}{\left(x^{2}+1\right)} \) is
(a) \( \mathrm{y}\left(\mathrm{x}^{2}+1\right)=4 \)
(b) \( y\left(\mathrm{x}^{2}+1\right)+4=0 \)
(c) \( y\left(x^{2}-1\right)=4 \)
(d) \( \mathrm{y}\left(\mathrm{x}^{2}-1\right)+4=0 \)
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