Form the differential equation of the family of circles in the second quadrant and touching the coordinate axes.

Explanation

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

### Step 1: Understand the Circle's Properties
The circles that touch the coordinate axes in the second quadrant will have their centers in the form (-a, -a), where 'a' is the radius of the circle. This is because the circle must be positioned such that it is entirely in the second quadrant and touches both the x-axis and y-axis.

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