Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.
Content of the video
- [00:16] Why do I need differential equations?
- [00:47] What is a differential equation?
- [03:41] Different notations of a differential equation
- [05:19] What should I do with a differential equation?
- [06:31] How to identify a differential equation
- [07:28] What are coupled differential equations?
- [08:53] Classification: Which DEQ types are there?
- [16:05] What are DEQ constraints?
- [18:24] Difference between boundary and initial conditions
- [20:55] Solving method #1: Separation of variables
- [21:08] Example: Radioactive Decay law
- [22:50] Solving method #2: Variation of constants
- [25:59] Example: RL Circuit
- [29:14] Solving method #3: Exponential ansatz
- [34:50] Example: Oscillating Spring
- [41:15] Solving method #4: Product / Separation ansatz