Power Series Solution for a differential equation

This differential equation will cover how to y'+2xy=0 with power series.

#differentialequation #math #blackpenredpen

[csegura]

The first second of this video is really remarkable

[damian.gamlath]

definitely cool.

I love your way of teaching because you address the little doubts along the way, and explain why we are doing something, and why it makes sense to even think about doing it in the first place..

Something that alot of other youtubers don't do as well as you do. Thank-you :)

[HolyHubcap]

Did anyone else notice his awesome 1 handed marker switching skills? Great video, very helpful !

[doyourbest]

YouTube is such a good way to teach math, because you can listen again and pause. Back up and see again, and pretty soon you are the power series

[m.abdullah]

Bro your teaching method is Got my semester final today and this cleared power series for me which I wasn't able to understand the whole dam semester

[Arycke]

I have a degree in mathematics and I would have to say that it is always good that two methods yield the same answer for a problem 👍the power series derivation I'm sure will help those seeking to understand how to find a power series solution to a differential equation :D plus power series are so important in analysis so this is a good introduction to that as well. Great video!

[SuperDreamliner]

I´m currently attending a differential equations class and I have to solve one with the powers series method. Thank you for putting this up! Greetings from Germany! :)

[randys]

Recently got back into studying math, this is such a beautiful method for differential equations

[seanfraser]

I think its great that you can find the solution in two very different ways. Yes, obviously the power series analysis is much more involved, but it also shows you another way of finding the general solution to the ODE. One of my favorite things about math is that there is almost always more than one way to approach a problem and find the same solution.

Of course, if the problem on an exam was to find the power series solution to the ODE, I would just find the exact solution and find its power series. Saves a few minutes :)

[josemaringarcia]

Thanks for making the re-definition of powers so easy to follow.

[Collinator]

this guy is single handedly teaching me diff eq. ive had 3 teachers so far. 1st dude i withdrew from, graded ridiculously hard. made up stuff that only he understood. talked in an accent and wouldn't help. 2nd and 3rd taught the class together split in the middle. 2nd guy was alright just ranted about random stories sometimes. 3rd guy. sheesh. tiny asian dude who whispers. cant understand a thing he says, and when he does talk about something really important he just starts talking 20 times faster WHILE STILL WHISPERING. love you blackpenredpen

[jennieferadombire]

Thanks so much. I really enjoy your way of teaching, it makes the math so easy

[jammcrusader]

dude honestly you are the man - i bought a shirt cause of how much you helped me

[shayanmoosavi]

The power series solution is starting to click for me. Thank you very much :)

P.S : 10:26 e cosine, e cosine, e cosine😁😁

[Skull]

I needed this 4 days ago for my differenials final :, ( i was searching all over youtube for a great video like yours! Keep it up!

[EngSeifHabashy]

Man I love how you save me!!❤❤
I'm having my ODEs final exam after 2 days and I forgot all the methods and watching your videos right now

[Ballzdippedincheese]

You really helped me out i was stuck with this question for the past 5 or 6 you

[syaoransakura]

Wow, thank you. Your explanation save my TASK

[gaming_boga]

Sir finally found a maths teacher in my life plz keep uploading videos thnks!!

[ahmadalrjoub]

thank you, Very clear and easy explanation