The solution of the differential equation \[x\frac{dy}{dx}=y(\log y-\log x+1)\]is [IIT 1986; AIEEE 2005]

The solution of the differential equation \[x\frac{dy}{dx}=y(\log y-\l

1.	The solution of the differential equation \[x\frac{dy}{dx}=y(\log y-\log x+1)\]is [IIT 1986; AIEEE 2005]
A.	\[y=x{{e}^{cx}}\]
B.	\[y+x{{e}^{cx}}=0\]
C.	\[y+{{e}^{x}}=0\]
D.	None of these
Answer» B. \[y+x{{e}^{cx}}=0\]

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The solution of the differential equation \[x\frac{dy}{dx}=y(\log y-\log x+1)\]is [IIT 1986; AIEEE 2005]

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