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Find the differential equation for parabola having latus ract 4a and axis on y-axis.

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Find the differential equation for parabola having latus ract 4a and axis on y-axis.

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Let (u,v) be the vertex of the parabola. 

The equation of required parabolas are of the form 

(x−u)2=4a(y−v) 

So there are two unknown constant.

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