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

Explanation

To form the differential equation of the family of parabolas having the vertex at the origin and the axis along the positive y-axis, we will follow these steps:

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