More differential equation videos, anyone?
Some have requested more videos for differential equations.
If you go to YouTube, you will find a lot, many of which have "y=y(x)" as the unknown function. If you are stuck at the basics and don't want the r?le of "x" to confuse you, here are a few which solve for a function of time "t". All from YouTube channel blackpenredpen:
- First if you need it: a playlist with integrals. https://www.youtube.com/playlist?list=PLj7p5OoL6vGz0aGzNAqRtxS62nt6LrdMf
- Exponential functions from a separable differential equation:
https://youtu.be/OqT_zF0dCZg (there was a comment about how 1:49 was quite some life lesson ...) - A slightly different one: https://youtu.be/Fv8Uwb0lyXM
- The logistic equation from the lecture, just with other letters: https://youtu.be/TuQnl4RMnDk
- Note that the partial fractions decomposition from 2:00 to 3:25 is not curriculum, so you would have to that part given as a hint. Here is one that just jumps across it: https://youtu.be/HVpWOeZ2Obo ; To get from 2nd line to 3rd line at 1:00, you would have to be given the fact that 1/((a-x)(b-x)) = [1/(b-x) - 1/(a-x)]/(a-b) when a and b are distinct.
???????Exercise: Find the general solution when b=a, that is curriculum!
- Note that the partial fractions decomposition from 2:00 to 3:25 is not curriculum, so you would have to that part given as a hint. Here is one that just jumps across it: https://youtu.be/HVpWOeZ2Obo ; To get from 2nd line to 3rd line at 1:00, you would have to be given the fact that 1/((a-x)(b-x)) = [1/(b-x) - 1/(a-x)]/(a-b) when a and b are distinct.
- Here is a more complicated separable differential equation that you won't get on the exam, because you cannot solve the form at 4:00 for x. But it illustrates the method! https://youtu.be/1tAZQFeAysQ
- A linear differential equation: https://youtu.be/V1ybUTJ4BMI
- And another: https://youtu.be/CekwITEuMb0
Published Oct. 8, 2019 2:18 PM
- Last modified Oct. 8, 2019 2:18 PM