The solution of \( (x+\log y) d y+y d x=0 \) when \( y(0)=1 \) is \...

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The solution of \( (x+\log y) d y+y d x=0 \) when \( y(0)=1 \) is
\( \mathrm{P} \)
(a) \( y(x-1)+y \log y=0 \)
(b) \( y(x-1+\log y)+1=0 \) (c) \( x y+y \log y+1=0 \)
(d) none of these
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