Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.

Explanation

To form the differential equation representing the family of parabolas with the vertex at the origin and the axis along the positive direction of the x-axis, we can follow these steps:

### Step 1: Write the equation of the parabola
The standard form of a parabola with its vertex at the origin and opening towards the positive x-axis is given by:
\[ y^2 = 4ax \]
where \( a \) is a positive constant that determines the distance from the vertex to the focus.
...