Paul's Online Math Notes
Differential Equations (Notes) / Basic Concepts   [Notes]
Differential Equations - Notes

Internet Explorer 10 & 11 Users : If you have been using Internet Explorer 10 or 11 to view the site (or did at one point anyway) then you know that the equations were not properly placed on the pages unless you put IE into "Compatibility Mode". I beleive that I have partially figured out a way around that and have implimented the "fix" in the Algebra notes (not the practice/assignment problems yet). It's not perfect as some equations that are "inline" (i.e. equations that are in sentences as opposed to those on lines by themselves) are now shifted upwards or downwards slightly but it is better than it was.

If you wish to test this out please make sure the IE is not in Compatibility Mode and give it a test run in the Algebra notes. If you run into any problems please let me know. If things go well over the next week or two then I'll push the fix the full site. I'll also continue to see if I can get the inline equations to display properly.
  Next Chapter First Order DE's
  Next Section Definitions

 Basic Concepts

There isn’t really a whole lot to this chapter it is mainly here so we can get some basic definitions and concepts out of the way.  Most of the definitions and concepts introduced here can be introduced without any real knowledge of how to solve differential equations.  Most of them are terms that we’ll use throughout a class so getting them out of the way right at the beginning is a good idea.

 

During an actual class I tend to hold off on a couple of the definitions and introduce them at a later point when we actually start solving differential equations.  The reason for this is mostly a time issue.  In this class time is usually at a premium and some of the definitions/concepts require a differential equation and/or its solution so I use the first couple differential equations that we will solve to introduce the definition or concept.

 

Here is a quick list of the topics in this Chapter.

 

Definitions  Some of the common definitions and concepts in a differential equations course

 

Direction Fields  An introduction to direction fields and what they can tell us about the solution to a differential equation.

 

Final Thoughts  A couple of final thoughts on what we will be looking at throughout this course.

  Next Section Definitions
  Next Chapter First Order DE's

Differential Equations (Notes) / Basic Concepts    [Notes]

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