The solution of \( \frac{x d y}{x^{2}+y^{2}}=\left(\frac{y}{x^{2}+y...

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The solution of \( \frac{x d y}{x^{2}+y^{2}}=\left(\frac{y}{x^{2}+y^{2}}-1\right) d x \) is
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(a) \( y=x \cot (c-x) \)
(b) \( \cos ^{-1} y / x=-x+c \)
(c) \( y=x \tan (c-x) \)
(d) \( y^{2} / x^{2}=x \tan (c-x) \)
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