Introduction to Linear Differential Equations and Integrating Factors (Differential Equations 15)

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How to solve Linear First Order Differential Equations and the theory behind the technique of using an Integrating Factor.

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After watching this video I was able to go to the gym and added some arbitrary constant to my bench press record.

MorbusCQ

I am a bodybuilder and I went straight into integration.

marlonguerrero

I am a physics grad student and I went straight to gym after watching your video.

quahntasy

Im a Mathematics major and highkey after watching your videos I started going to the gym

afrolichesmain

God bless you Professor, you can't imagine how many students you have been helping with your great videos.

basharadel

Around 5:05 to 5:15, to bother to pay attention to and explain these kinds of small details (even if it's just 10 seconds) so as to not confuse students is what distinguishes professor Leonard as a better teacher.
Thank you very much for taking your time to make all these math videos!

khbye

26:07 "If you understand, raise your hand" LOL you truly teach with such an open mind of your audience, and that is what makes you so good at explaining with such clarity

sethle

I will now start saying "what the function of x is going on here?!" 😂 Thank you so much professor for this excellent explanation, I was beyond lost with the way my teacher explained it! #bestprofessorever

Sonofapoop

Finally after so many years I understood why we do what we do in this situation. Always memorized this procedure but first time got to know it in depth. Thank you professor Leonard, you are a rare breed of professors who know how to make tricky things simple.

avneel

I am the kind of person that won't remember a formula unless I understand the logic behind it. My professor kept throwing these formulas at us and it didn't make any sense until now...thank you, Professor Leonard.

micahsnow

My Mind Is Blown!!! You are an absolute God sent! This video is totally worth the hour of watching to understand the process behind First Order Differential Equations.

joserosado

This is why I come here. My instructor completely skips the "why." When you know the "why" it's much easier to grasp these concepts. Thank you! I wish you could actually see all of us "getting it."

spcverger

Professor L. is a teacher who is passionately committed to making his students really understand the difficult concept of solving linear differential equations. So he goes to great lengths to explain every step repeatedly. A lively, even thrilling performance! G.R., Bonn, Germany

gunterrebing

I think an often overlooked aspect of mathematics is the importance of clear exposition. Professor Leonard not only explains things clearly the first time, he thinks of four other clear explanations to bolster his explanatory power. This really is a tremendous help and after watching this video my understanding has vastly increased. Thank you, Professor Leonard!

charlesrodriguez

I've been retired from teaching university mathematics for 18 years now. I'm going through your DE videos to see how much math I've retained as I've aged. I'm happy to say so far so good. I am impressed at your presentation here. The engineers I taught really didn't care much for proofs but like you I did strive for students to understand. You've done a real service for current students.

tangsoopap

As a person who has a difficult time following math jargon, I was only just hanging on/following his explanation for the first while. (Basically partially lost and confused.) Then, around 30:00 everything starts coming together. Just for anyone who experiences math the same way as I do.
Thanks Professor!

Abayas.

44:08 The excitement made me laugh. I really love how even though it might be so obvious to you at this point, you're still just as amused by it. Love and appreciate the videos :]

godiswatching_

you are the best teacher i have ever seen!!
thank you

mahmoudhammmad

You are definitely my favorite YouTube teacher. Thank you for all that you do. God bless you and your family.

VectorSpace

I have been with professor leonard from the start....started from the bottom now we here.

oscarobioha

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