#### Question

Form the differential equation of the family of parabolas having vertex at origin and axis along positive *y*-axis.

#### Solution

The equation of the parabola having the vertex at origin and the axis along the positive *y*-axis is:

`x^2 = 4ay` ......(1)

This is the required differential equation.

Is there an error in this question or solution?

Solution Form the Differential Equation of the Family of Parabolas Having Vertex at Origin and Axis Along Positive Y-axis. Concept: Procedure to Form a Differential Equation that Will Represent a Given Family of Curves.