POWER SERIES SOLUTION TO DIFFERENTIAL EQUATION

My longest video yet,
power series solution to differential equations,
solve y''-2xy'+y=0,

[blackpenredpen]

This is not a full lecture. This is just one problem...

[snicker.doodlez]

Absolutely phenomenal explanation. I swear, I pay my teachers for nothing...

[Joel-fszh]

you are incredibly gifted at explaining mathematics in an algorithmic way. I've watched hundreds of your videos and you are carrying me through my undergraduate math courses. Thank you for all your free videos. I will buy your merch someday i promise!

[dina-vnol]

I remember doing these problems in my DiffEq class. I love math, but this was pure hell

[foxr.e.m.]

Omg, if I had a teacher like this I would have straight A’s, just solved my entire chapter with absolute ease after watching ur videos. Thank you

[wayceeharvey]

I have my ODE final exam this evening, your video has brightened my view on power series solutions which I was struggling with. You should do some videos on Laplace transform

[ainstaink]

This is  a great video explaining exactly what I needed in my differential equation class. I have to tell you that you explain this and other mathematical materials so well that I wish you were our class teacher! The one I currently have teaching the DE class is useless. All your videos that I watched are very helpful and you REALLY EXPLAIN THE MATERIAL VERY VERY WELL!!!

[AndDiracisHisProphet]

17:12 "This is...a lot of fun....i guess"

[Jwoyal]

I used to just watch your videos for fun but I never thought you'd actually teach me something I need to know for a class better than my professor does, thanks man

[mmdarwani]

This is by far the most organized solution on this topic, Thanks!

[lapisdust]

Mad color pen juggling skills with to-the-point explanations!

[tomhughes]

You explained in 11 minutes a topic I had been struggling on for hours. Thank you so much!

[annajane]

Watching this by recommendation of my professor for help with differential equations during the Covid-19 quarantine. Thank you so much for making this video! It helped a lot!

[jeanbonefont]

ODE prof never taught this, now my grad PDE prof expects us to know it. You sir are a godsend

[mishalubich]

It's refreshing to have him wear a Berkeley shirt while I do the university's homework.

[gdivya]

The satisfaction you get at the end solving one question after working for 40 minutes cannot be explained in words😭

[trelosyiaellinika]

Very beautiful indeed!
What I like about your videos is that you explicitly demonstrate that mathematics is not "rocket science" so to say. It is bits and pieces of very logical building blocks and all you need to do is not to rush and be very attentive and systematic in your steps and sometimes step back and have a look at your work from a distance and you will eventually get there... Even if you find yourself having gone in the wrong direction, if you have been systematic, it will be easy to trace your steps back and seek a different path rather than getting lost...
I greatly enjoy your exercises in various disciplines even though I am neither an engineer nor do I have a practical use for higher maths. I just love it for its own sake...

[TheGidam]

It's 2:30 am and I just finished watching the whole thing. Please tell me I'm not the only one who started laughing at the end and everything is okay with me. Thanks

[martinchalonga]

I don't know what i would do with my Engineering Mathematics without you sir..i really appreciate your help..Thank you.

[rajendramisir]

Excellent explanation. Working out the solution to this problem shows the kind of patience required for and rigor of this level of Mathematics. Professor Milnorski always told us to push the pen and get dirt under our finger nails.