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The differential equation of the family ...

The differential equation of the family of curves `cy ^(2) =2x +c` (where c is an arbitrary constant.) is:

A

`(xdy)/(dx)=1`

B

`((dy)/(dx)) =(2xly)/(dx )+1`

C

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

D

`y ^(2) =(2ydy )/(dx)+1`

Text Solution

Verified by Experts

The correct Answer is:
C
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