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Differential equations of all parabolas

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Differential Equation (XII)
Formation of Differential Equations by Elimination

Find the differential equations of all parabolas whose axes are parallel to the axis of y.

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The differential equations of all parabolas whose axes are parallel to the y-axis are found. The solution is detailed and well presented.

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The equation of all parabolas whose axes are parallel to the axis of y are of the form

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  • MSc, Kanpur University
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