Writing a Differential Equation from a Description Worksheet with Answer Key

What's on the worksheet

1. Write a differential equation for each sentence, with time t as the independent variable.
2. Kevin takes a steel bar out of a forge and sets it on a rack in a workshop whose air stays at a fixed temperature that Kevin does not know.
3. David's reef club grows coral in an underwater nursery that now holds 500 coral fragments.
4. Ethan takes a can of sparkling water from a fridge at 4 degrees Celsius and sets it on a picnic table, where the air stays at 28 degrees Celsius.
5. A county has 900 farms.
6. In a made-up model, the number P of wild hogs in a county forest, t years from now, satisfies \frac{dP}{dt} = 0.0001P(5000 - P) - 0.2P.