Form the differential equation of the family of circles touching the x-axis at origin.

Explanation

To form the differential equation of the family of circles touching the x-axis at the origin, we will follow these steps:

### Step 1: Write the general equation of a circle
The general equation of a circle with center \((a, b)\) and radius \(r\) is given by:
\[ (x - a)^2 + (y - b)^2 = r^2 \]

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