First Order Linear Differential Equation & Integrating Factor (introduction & example)

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Learn how to solve a first-order linear differential equation with the integrating factor approach.

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Dude, this literally brought tears to my eyes. I spent the past 12 hours studying this through my professor's notes and the textbook and all other videos and you explained it in 10 mins.

AC-vjiy

"I know this looks sexy, but this is sec(x) times y" haha

fawazalkhelaiwi

I always smile around the middle of his videos when I see where its all going.

andreguimaraes

My teacher: We're going to do linear first order DEs. It's OBVIOUS to everyone that you just need to multiply by this (random term he pulls from his butt) to make this work. So just guess the term that works and do it.

Blackpenredpen: This is what we're doing and here's why. (Proceeds to actually EXPLAIN why and how he does things.)

I'm going to need your videos this entire quarter because my teacher sucks and just assumes what is obvious to him is obvious to everyone.

ridpathos

These videos are really superb. I love how they start with the underlying principles so you end up seeing how things work rather than just memorising a procedure. Thanks very much, blackpedredpen!

aquienpuedaimportar

Truly the best explanation of the IF I've seen. Thank you so much. It finally clicks. Woohoo.

fatsquirrel

17:20 "It's so Nice"!- Yes I agree. Your spirit is very refreshing! Like a cold glass of water on a 115F day. Thank you for the videos!

NMelakis

YES THANK YOU FOR THIS OMG. Thanks for actually explaining how to identify the product rule!! So many other videos completely skipped that...

jazzm

This vid is probably among the most deserving of a subscribe I've ever seen dude. You are awesome!!!

fullmetalpotato

One of the best ways to give an introduction to the first-order linear differential equations. Explaining why we do, what we do.

aymankhan

Whenever I need to review a calc or leplace question, you always are there to help me out! Seriously you're helping so many of us get through this stuff! Thanks!

BAEXG

wow thank you! im majoring in maths and our prof didnt find it necessary to explain this. your video was extremely helpful!

raffaellucaschumann

You sir are saving lives, your method of explaining complex topics is unmatched.

IamFated

A superb explanation of a lovely technique. It was so good that I paused the video and derived the integration factor from matching terms with the product rule and then, paused again and solved the example DE which, from inspection, was really just cos(x)^2 + sin(x)^2 = 1 disguised in the form of an ODE.

To be fair, I studied calculus at uni to third year between 2005-2008, covering methods in solving ODEs and PDEs, but I'd completely forgotten in the interim just how this integrating factor was obtained and to what forms of ODE it could be applied. The way you explained it could scarcely be better and I say that having had several outstanding university lecturers.

Thank you so much for twenty minutes of pure entertainment and joy. You are an internet treasure.

thefunpolice

Man, you should apply for a professor at the Department of Mathematics at the University of Toronto! My prof sucks totally, and the book also sucks. You literally explained as sexy as you could!!!! Thanks a lot, still no idea why I pay 45K for?!

elvinjafarli

After searching around for a lot of time, I came across this, and honestly this is the best explanation about IF on YouTube. Thank you!

sumeirkhinda

wish my university professor was this good. thank you so much, this helped alot.

MRZEE-nffq

Great Explanation Bro! I am currently studying this for my Chemical Engineering degree and this video explained much better than my lecturer.

lukahnapeirogon

THANK YOU! I was so confused in class and I think I finally got the hang of it. Thank you for explaining where everything was coming from!

JENNY

can we start a gofundme to get this guy a lapel microphone

zasgat

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