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

Explanation

To form the differential equation of the family of circles that touch the y-axis at the origin, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Circle's Properties**:
- The circles touch the y-axis at the origin (0,0). This means that the center of the circles lies on the x-axis and has coordinates (a, 0), where 'a' is the distance from the origin to the center.

2. **Write the Equation of the Circle**:
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