The solution of \( x \frac{d y}{d x}+y-x+x y \cot x=0(x \neq 0) \) is (A) \( y(x \sin x)=-x \cos...

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The solution of \( x \frac{d y}{d x}+y-x+x y \cot x=0(x \neq 0) \) is
(A) \( y(x \sin x)=-x \cos x+\sin x+c \)
(B) \( x(x \sin x)=x \cos x-\sin x+c \)
(C) \( y \sin x=-x \cos x+2 \sin x+c \)
(D) None of these
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