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The differential equation of the family ...

The differential equation of the family of parabola with focus at the origin and the `X`-axis as axis is

A

`y((dy)/(dx))^(2)+4x(dy)/(dx)=4y`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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