Many engineering applications describe the evolution of some process with time. In order to define such an application we require two distinct pieces of information: we need to know what the process is and also when or where the application started.

In this Section we begin with a discussion of some of these so-called initial value problems . Then we look at two numerical methods that can be used to approximate solutions of certain initial value problems. These two methods will serve as useful instances of a fairly general class of methods which we will describe in Section 32.2.


Learning Outcomes

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