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 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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The correct Answer is:

C

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