Write the equation for the Verhulst-Pearl logistic growth of population.

Explanation

### Step-by-Step Solution:

1. **Understanding the Logistic Growth Model**:
- The logistic growth model describes how a population grows in an environment with limited resources. It results in an S-shaped curve, indicating that the population grows rapidly at first, then slows down as it approaches the carrying capacity of the environment.

2. **Identifying the Key Variables**:
- In the logistic growth equation, we have:
- \( \frac{dn}{dt} \): the rate of change of the population over time.
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