The differential equation representing t...

The differential equation representing the family of curves `y=xe^(cx)` (c is a constant) is

A

`(dy)/(dx)=y/x(1-log (y/x))`

B

`(dy)/(dx)=y/x(1-log (y/x))+1`

C

`(dy)/(dx)=y/x(1+log (y/x))`

D

`(dy)/(dx)+1=y/x log (y/x)`.

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