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The differential equation satisfied by t...

The differential equation satisfied by the system of parabolas `y^2=4a(x+a)` is :

A

`y((dy)/dx)+2x((dy)/dx)+y=0`

B

`y((dy)/dx)^2-2x((dy)/dx)+y=0`

C

`y((dy)/dx)^2-2x((dy)/dx)-y=0`

D

`y((dy)/dx)^2+2x((dy)/dx)-y=0`

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