Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.

Explanation

To form the differential equation of the family of circles in the first quadrant that touch the coordinate axes, we can follow these steps:

### Step 1: Understand the Circle's Properties
The circles touch the x-axis and y-axis in the first quadrant. The center of such a circle will be at the point (a, a), where 'a' is the radius of the circle.

### Step 2: Write the Equation of the Circle
The general equation of a circle with center (a, a) and radius 'a' is given by:
\[
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