Differential Equation for Exponential Growth

Question

The table shows data for a population, $$P(t)$$, that is growing exponentially. Which of the following differential equations could model the growth of this population?

| Time (years) | Population |
|--------------|------------|
| 0            | 100        |
| 1            | 120        |
| 2            | 144        |

Accepted Answer

$$\frac{dP}{dt} = k*P$$

Answer

$$\frac{dP}{dt} = \frac{P}{k}$$

Answer

$$\frac{dP}{dt} = k+P$$

Answer

$$\frac{dP}{dt} = k*P^2$$

Differential Equation for Exponential Growth

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