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The differential equation of the family ...

The differential equation of the family of parabolas 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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