These four multi-part problems give students practice applying differential equations and slope fields. Students match the described situation (e.g., "y (x) represents the population of a bacteria colony, in millions, at time x. y’ varies directly as the current population.") to a slope field, solve the differential equation described in the problem, and answer questions about the situation.
The four problem types represent a variety of problems:
- y' is directly proportional to y
- y' is inversely proportional to x
- y' is inversely proportional to y^2
- y' is directly proportional to x
There is no answer key, sorry.