What is the differential equation of a family of parabolas with the foci at the origin and axis along the X-axis?

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answerhappygod
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What is the differential equation of a family of parabolas with the foci at the origin and axis along the X-axis?

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a) 2xy’+ 4y(y’)2-y=0
b) xy’+ y(y’)2-y=0
c) 2xy’+ y(y’)2-y=0
d) 2xy’+2y(y’)2-y=0
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