The subsequent type of first order differential equations which we'll be searching is correct differential equations. Before we find in the full details behind solving precise differential equations it's probably most excellent to work an illustration that will assist to demonstrate us just what an exact differential equation is. This will also demonstrate some of the behind the scenes details that we generally don't bother with in the solution process.

The huge majority of the subsequent example will not be done in any of the remaining illustrations and the work that we will place in the remaining illustrations will not be shown in this illustration. The whole point behind this illustration is to show you just what an accurate differential equation is, how we utilize this fact to arrive at a solution and why the process works like it does. The bulk of the actual solution details will be demonstrated in a later example.