What is a DIFFERENTIAL EQUATION?? **Intro to my full ODE course**

[@gurk_the_magnificent9008]

We’re going to call this y-naught, because why not?

[@liamgabrielides2802]

Why naught? Sorry

[@interest21stcentury74]

Thank You so much dr for the clear course introduction and the book!! It will benefit me a lot!

[@DrTrefor]

You're most welcome!

[@fredsmhmd8105]

Man, love how the way you explain stuff so clearly and easily.😍

[@DrTrefor]

Happy to hear that!

[@shubhjoshi6205]

There should be millions of views on his videos, math students should definitely watch them

[@DrTrefor]

I'd love that!!

[@RickRudy]

I adore mathematics, but it takes me a long time to properly absorb topics. This man explains everything so effortlessly. Thank you!

[@airsquid8532]

No idea what most of this means, but it’s still interesting and makes me want to understand.

[@DrTrefor]

haha, love the spirit!

[@SoumikRoyBAI]

endsems in a week..and here we go, watching probably one of the best and most subtle playlist on ODEs -:--the very best in my opinion

[@HowToTechChannel]

Vector Calculus playlist was great. Now it's time to learn DE. Thanks for the amazing content.

[@simran19]

Sir, you are really a GIFTED teacher. Thank you so much for your wonderful explanations.

[@DrTrefor]

So nice of you!

[@vwcanter]

One important detail that they never tell you when you apply to physics problems- whenever you do an indefinite integral, and you end up with a constant of integration left over the constant of integration will always have the same dimensions as the integral. Once you realize that, it becomes immediately obvious with the physical significance of the constants of integration is, for example, if you integrate an acceleration, you get a velocity, therefore the leftover constant of integration will also have units of velocity. If you add up an integral that gives you work, and you get constant integration left over, the constant will also have the units of work.

[@omanshsharma292]

most of the stuff in this channel is way beyond my syllabus... but I dont care, I love the way Dr. Trefor teaches !! :)

[@DrTrefor]

haha, you're going to be so happy when you start talking some higher level classes:)

[@omanshsharma292]

@@DrTrefor for sure sir :)

[@vegitoblue7595]

HOW DID I NOT FIND THIS EARLIER!? YOU SAVED ME FROM MY MIDTERM EXAM.THANK YOU SIR🙏🙏🙏

[@jacobamoah4738]

We are here because of midsem 😂🥹❤

[@thesoul3461]

Thanks a bunch. I was wondering why do we even use differential equations that are so complicated to form, you just answered that in a few words that it's easier to deal with rate of changes than bunch ofgeneral equations! 😁Happy.😁

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc .💐

[@mnada72]

Learning Math has become a recreational experience by this channel 👍Thank you.

[@zekizaferaydinli1250]

which mathematics subjects do i need to know in order to understand and solve differential equations in university?

[@ycombinator765]

2021 indeed had a giveaway and this was the gift for me❤️

[@georgesadler7830]

Dr. Bazett, thank you for answering the question on what a Differential Equation is. The overall introduction is excellent for all students/nonstudents to understand.

[@noelmulwa5008]

allow people to download please

[@ScraperCross]

This is way too cool, thanks so much for everything you do!

[@DrTrefor]

Glad you enjoy it!

[@goto6799]

Sir, can yu please explain positive definite matrices and how they relate to the eigen values . Your content is always wholesome and effective 👍

[@shubhamsatyaprakash54]

Great Introduction and quality content as always, keep on doing your noble work...

[@DrTrefor]

Appreciate that, I will!

[@martinocelotl8326]

This is a good example of why I couldn't wait to complete my calculus and differential equations courses quick enough to start enjoying other math. I somehow always felt that calculus and DE was obsessed with physics, particularly with launching projectiles.

[@terrancepage9163]

heading into DE next week and I have a feeling i'm going to be spending a good bit of time on your channel. Nicely done!

[@sergiolucas38]

Nice video, idk very well the difference between differential equations and the common calculus stuff but anyhow :)

[@NinjaGaming111]

your calc 3 vids saved me last semester and now your diff eq vids are gonna save me this semester! ty!

[@DrTrefor]

nice!!

[@ossahmadrezaazimikohnabi5108]

How much Calculus does it tak for prerequisite? III is enough?

[@DrTrefor]

Basic integration skills is all:)

[@trexbattle]

Thank you baby

[@the_jimnasium]

Starting this to sharpen my skills as an engineer. Been out of school far too long and the reality is you don't use the math as much as I would have liked to :(

[@aselim20.]

I wacthed twice and I took notes.

[@vedantkulkarni6971]

was expecting a 'why not' pun XD Gonna start studying ODE from today.

[@queenisforever1]

Thanks, love the way you explain and simplify complex concepts. Will it be possible for you explain how Bayes theorem is applied in statistics, particularly the derivation of posterior distributions from a prior, in a future video.

[@DrTrefor]

i do want to do some more bayes' theorem videos for sure, got a couple right now but not the more statistical flavour that you mention:)

[@vkv392]

There is no words to convey my immense gratitude.......I have completed your calculus playlist and starting ode....... Thankyou very much ❤️ 💕

[@DrTrefor]

You are most welcome!

[@amritas2400]

This is exactly the topic in which I needed help right now. Now I understand what this is about.

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐..

[@athenaapo9746]

Amazing video as always, this course is gonna be very interesting. I wonder if you will mane videos in real analysis in the future;

[@DrTrefor]

That's the plan!

[@VFella]

Ahhhh!! 08:44 !!! Cr*p got this question in my last exam and left it blank. No worries, I have a second chance. Now I got it. Nice!

[@anushrao882]

"My initial position at y=0 is y_0" why not!!

[@DrTrefor]

ha!

[@sing759]

i feel like i am watching Forensic Special Agent Sebastian Lund (NCIS New Orleans) teaching me maths

[@daviddeleon292]

Not to be weird but I love you. You cleared up so much for me.

[@shyammeena3362]

can a differential eq. have more than one solution??

[@DrTrefor]

Absolutely!

[@stevehof]

HURRAY! I was hoping this would happen

[@karthicksk8793]

Thankyou!🎉

[@agathaporter3685]

Jackson Margaret Wilson Betty Robinson Patricia

[@anshikasharma6846]

Thank you so so much 😊

[@bhubankheti1729]

Sir plz make videos on real analysis

[@DrTrefor]

I mean to!

[@bhubankheti1729]

🙏🙏 Thanks sir

[@AmitVermais]

Sir please please 🙏 please make video on 3d geometry

[@DrTrefor]

That would be a fun topic!

[@zaranaziyeva6539]

Hello sir,had a question.im little bit confused 🤦u said at 07:20 acceleration is the seconde derivative of position function then why did u put y(t), time?! Not like y(d) or something like that, why did we use time?

[@pythonsob5271]

Sir please come up with a series on Numerical methods for ODE & PDE.

[@man9mj]

love it.. very well explained. Thanks prof.

[@continnum_radhe-radhe]

Thanks a lot sir 🔥🔥🔥

[@isaacleverett8486]

idk why im watching this i barely pased maths at school but its very interesting

[@sajjad213]

Please teach singular solutions and why a singular solution is an envelope of family of curves. Thank you.

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc .💐

[@bigkeoni6429]

What's a few good books for Diff EQ?

[@DrTrefor]

Check out the link in the description, I have my own open source one!

[@rezwanaroza2981]

When are you going to make video on partial differential equations ?

[@the_eternal_student]

Thanks for mentioning the 2 constants when you integrate twice.

[@nesoxrigo8292]

You deserve big Thank you for your efforts and help in simplifying this material, wish you best luck

[@DrTrefor]

Thank you so much!

[@mihirrao10]

Uhh, so how many videos can we expect in this playlist on ODE's approximately? Like 30? 40? As always, love the work you are doing.

[@DrTrefor]

Something like that. I'm actually going to do a few smaller playlists of about 15 videos each (ie laplace is its own playlist, already made, fourrier gets its own, systems its own, etc) as opposed to one big super playlist

[@Darkev77]

Finally! One of my favorite topics

[@DrTrefor]

haha I figured you were going to be happy about this series:D

[@mr.misbah7577]

An upcoming math major 2nd year student here. It will be helpful for me. Thank you Dr. Bazzet

[@DrTrefor]

Nice!

[@hannahsheedy6201]

you are saving my GPA thank you

[@items365]

Sir one word to say "Iam very(infinity times) excited for this course ❤️❤️❤️. Now you are there in the video. Remember that comment

[@DrTrefor]

Haha I’m excited your excited!

[@skipintro9988]

I can safely say that I would have been in a lot of trouble if he had not made these videos. Thanks, professor!

[@DrTrefor]

So glad they helped!

[@eulersfollower7140]

I'm new to this channel,what is the frequency of videos per week?

[@DrTrefor]

Aiming for 2-3 per week

[@Nhan12031995]

Thank you so much. I suggest you introduce a bit about boundary condition later in this playlist too. I am still confusing between them sometimes.

[@DrTrefor]

I'll definitely be talking about this:)

[@RunningMan630]

Where were you Dr. Bazett, when I was getting an engineering degree?

[@modernphysics7474]

Amazing lecture sir 🙂💙👍

[@edwardoldman3363]

I love your teaching style sir

[@BruceWayne-dh5hy]

Hurrah! I am excited one of my fav topics started...😊

[@DrTrefor]

Mine too!

[@raymondlancaster3355]

This gentleman is a gifted instructor.

[@mashroorzisan]

Big fan

[@familystucky490]

made perfect 100 cause of you

[@DrTrefor]

Awesome! Congrats!

[@trexbattle]

Chill bro my girls on this app

[@scottboyer7774]

#1 best math prof on youtube

[@Parknparty]

Great! How often do you expect to add new videos to this playlist?

[@DrTrefor]

Probably 2-3 per week

[@andyralph9495]

can you do one explaining frobenius and power series method of solving differential equations?.....I mean I know how to solve them...it is all mechanical with me....with no intuitive understanding of them....since you provide such insight with most concepts...I would love to understand the process of solving differential equations using power series

[@yashas9353]

Do u have problems for us to solve as we watch the videos?

[@najminahmed317]

Please do a series of complex analysis

[@koangwiyuallliah6433]

appreciated, God bless you.

[@BentHestad]

Thank you for this! Book is really, really clear and excellent!

[@DrTrefor]

Glad you like it!

[@okaforsamuel9720]

Most of these stuff are way beyond my syllabus

[@pipertripp]

can't wait to see how this one unfolds!

[@manaswikumar4969]

I am not an engineer, I am actually a Biology student and people say bio people don't like maths..... But I love the way he explains

[@thezoz9476]

one of the most important courses!

[@DrTrefor]

i agree!!

[@hemantsethia2475]

Sir please make video on De Moivre's theorem, (Coax + Sinx)^p/q

[@bomcimtube]

Excellent intro! Are you going to put your Mathematical Modeling videos?

[@KhoaTran-db1ce]

thanks Trefor, you helped me aware how it work just within several minutes!

[@j.o.5957]

Ah, perhaps I should've started here instead of at laplace. Either way, got a cool ride ahead of me

[@Lewiskinyua]

I have to say the quality has greatly improved 💯

[@DrTrefor]

haha thank you!

[@user-ig1em7wd9c]

should there be a +C if we integrate it

[@citiesinspace]

Thank you for everything you do Mr. Bazett! Your videos are incredibly helpful

[@DrTrefor]

Glad you think so!

[@clintonezeh7556]

Can I download the textbook offline

[@ay-pn8jy]

Thank you sooooo much , can’t wait for this course.

[@DrTrefor]

Hope you enjoy it!

[@maurocruz1824]

Audio wasn't good this time.

[@raookasha5638]

What OED in the title stands for

[@DrTrefor]

Ordinary Differential Equations

[@raookasha5638]

@@DrTrefor My eyes just caught your channel today and right now I am watching 32th video of your Calculus 1 playlist, love your content, can't believe you replied

[@feynstein1004]

Still waiting for the different kinds of geometry video 😋

[@DrTrefor]

haha it is on my list! BUUUUUUUUUUUT my list is long:D And a pandemic happened:D

[@feynstein1004]

@@DrTrefor Hehe fair enough. But how about a compromise? You are doing differential equations anyway. I've always wondered about differential geometry 😊

[@stewy0013]

This is an incredibly brilliant intro to DEs. From someone who teaches DEs.

[@kkfact7304]

Finally I actually going to understand ODE ❤

[@troy1eighty2]

ckin juicer brah?

[@tasoskanu4590]

You learn ODE on your second year? *greek universities laugh*

[@martinocelotl8326]

Impostor syndrome.

[@JeepinItReal5x5]

Fantastic presentation! Thank you for making this available.

[@abdullahmdsadik1668]

excellent explanation

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc .💐