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Differential Equations: Lecture 4.1 Preliminary Theory - Linear Equations

This is a real classroom lecture on Differential Equations. The beginning of the lecture focuses on using the definition of linear dependence to determine whether functions are linearly independent or dependent. I did four examples. After that we talked about the Wronskian and how it's related to linear independence. Several examples are done in this video. Finally at the end we talk about the theory of linear differential equations. There is a lot of mathematics in this video. I hope this helps someone. *Fun Fact*: There is a voice in the background of the video. Why? Well the AC was BROKEN and it was horribly hot(at least in the lecture where I am wearing the red shirt) and so the door was open. So the voice is some other professor in another class. The AC has fortunately been fixed. Note it was so hot the camera overheated multiple times that day!!! These lectures follow the book A First Course in Differential Equations by Dennis Zill. This is a great book for learning differential equations. Here is the book https://amzn.to/4ajOMyW (affiliate link).