The differential equation of the family ...

The differential equation of the family of curves `py^(2)=3x-p` is (where p is an arbitrary constant) is

A

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

B

`y(dy)/(dx)=1`

C

`y^(2)=(dy)/(dx)`

D

`y^(2)=2xy(dy)/(dx)-1`

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The correct Answer is:

D

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