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The solution curve of the differential e...

The solution curve of the differential equation
`y(dx)/(dy)=x(log_(e)x-log_(e)y+1)`,`x gt 0,y gt 0`passing through the point `(e,1)` is

A

`|log_(e)((x)/(y))|=y`

B

`|log_(e)((y)/(x))|=x`

C

`|log_(e)(y)/(x)|=y^(2)`

D

`|log_(e)((y)/(x))|=y^(2)`

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