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 having their vertex at the origin and their axis along the positive direction of the x-axis, we can follow these steps:

### Step 1: Write the standard equation of the parabola
The standard equation of a parabola with its vertex at the origin and axis along the positive x-axis is given by:
\[ y^2 = 4ax \]
where \(a\) is a parameter that determines the width of the parabola.
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