Falling objects. This video starts with some discussion of where the differential equation comes from, then carries out a problem from start to finish. A couple of things to note:
1. The problem uses U.S. Customary Units (feet, pounds, etc.) – in particular, acceleration due to gravity is 32 ft/sec^2 (instead of 9.8 m/sec^2).
2. In solving the example, the differential equation is solved using the Integrating Factor method (which we will learn on Thursday).
3. The “limiting velocity” is just another term for the terminal velocity.