A series of examples that include some model development from basic principles and at least one specific example that uses the resultant differential equations has been developed as part of the undergraduate differential equations course at UMass-Lowell (92.236 -- Differential Equations for Engineers). Some of these applications have been included here as additional examples of physical systems that involve first order ODEs, and as further illustration of the various solution techniques discussed in Section I of these notes. These examples use a mix of analytical and numerical techniques and some include simulation and plotting of the solutions within Matlab. These extra examples simply provide a larger inventory of worked problems and they also illustrate the wide range of applications for the methods discussed in Section I.

The currently available application areas and specific examples involving first order ODEs are listed below: