1.

The solution of the equation \[\frac{dy}{dx}=\frac{y}{x}\left( \log \frac{y}{x}+1 \right)\] is

A.                 \[\log \left( \frac{y}{x} \right)=cx\]      
B.                 \[\frac{y}{x}=\log y+c\]
C.                 \[y=\log y+1\]      
D.                 \[y=xy+c\]
Answer» B.                 \[\frac{y}{x}=\log y+c\]


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