Qualitative behavior of solutions to differential equations

Let $y(t)$ be the number of thousands of mice that live on a farm; assume time $t$ is measured in years.

1. The population of the mice grows at a yearly rate that is twenty times the number of mice. Express this as a differential equation.

2. At some point, the farmer brings $C$ cats to the farm. The number of mice that the cats can eat in a year is thousand mice per year. Explain how this modifies the differenti…