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Here is what one could essentially consider an introductory lecture to Matlab’s numerical ode solver (with skip links for flexibility). Don't let the length of the video scare you. There are skip links provided below to help navigate between the different portions of the video. (Note that Example 1 and the Matlab there are longer than for Example 2 since they introduce some basic info.) So if you're only popping in to see a particular section or you're already familiar with the introductory basics, don't worry. You won't have to sit through the entire video.
You will notice that this video is rather lengthy compared to the usual. This is because I wanted to go into sufficient detail to explain how Matlab's numerical ode solver works. In doing so, my hope is to enable people to understand and use the process rather than regurgitate information. I genuinely hope that this video -- and the others in this series -- will be helpful to you. Let me know what you think in the comments below.
Video Navigation (Skipping Links):
1) Basic Concepts (The very beginning of the video)
(You can just scroll back to the beginning)
[~13 min]
2) First Example Problem (Non-constant coefficients | 13:17)
[~4 min]
3) Using Matlab to Solve Problem 1 (Introduces 3 Approaches | 17:59)
[~19min ... Only ~10min if simply watching Approach 1)
4) Second Example Problem (Constant Coefficients | 37:55)
[~5min]
5) Using Matlab to Solve Problem 2 (43:45)
[~3min]
6) Quick "Pro's and Con's" (46:05)
[~2min]
I apologize for the reference to the "annotations." I'm a bit of a noob, so I wasn't aware that they got cancelled some time ago. There are still skip links in the description, at least.
I want to give my sincerest thanks to the legendary Professor Vincent Nguyen at the University of Maryland, College Park. Without his help, I would never be able to understand how to use Matlab's ode solver like I do today.