The cook-book approach to the differential equation method

We survey several applications of the differential equation method in different areas of discrete mathematics. We give examples of its use in the analysis of algorithms in random graph processes and random Boolean formulae. We also briefly review the basic theorem of Wormald (1999) [1] used in the analysis, but we aim for simplicity and not for maximal generality. The primary goal of this survey is to be a toolbox for the usage of the differential equation method.