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Standard Equation of Parabola

The different...

Question

The differential equation of parabola with axis parallel to y-axis and length of latus rectum as 4a is of order:

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Solution

Let $(u, v)$ be the vertex of the parabola.
The equation of required parabolas are of the form
${(x - u)}^{2} = 4 a (y - v)$
So there are two unknown constant.

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