Find the differential equation of the circles represented by `y = k(x + k)^(2)` where k is an arbitrary constant.

Explanation

To find the differential equation of the circles represented by the equation \( y = k(x + k)^2 \), where \( k \) is an arbitrary constant, we can follow these steps:

### Step 1: Differentiate the given equation
Start with the equation:
\[ y = k(x + k)^2 \]
Differentiate both sides with respect to \( x \):
...