01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.

[@faizalhossen2289]

Great teacher. I learned DE more than 40 years ago in my civil engineering course. Completely forgetting it. Now, he refreshed my mind. Thank you, sir.

[@thornil2231]

We must be same age, I did look back at it for the PE exam... a few years after my master and I had forgotten everything already. Seriously it is not the kinds of things you can do casually. You do it 8 hours a day or you don't. That's my view. If I need any engineering formula, I get a book and it's right there. I like watching videos about it... it's almost like watching some professional athletes. You know what they are doing... you also know you can't do it.

[@sustainably]

I searched and clicked numerous tutorial videos, to understand in greater depth (not just how to calculate but something I can relate to the real world scenarios). Those tutorial videos only talked about why it is done or gave some examples. This great man was in the different level. Never seen the level of teaching of this highest quality. He used different colours during explaining, highlighted the terminology, at each stages he gave the real world scenario examples and didn’t rush to finish the calculations. Lucky those students, who actually got to get knowledge from this best teacher. I am so impressed that, I instantaneously liked and subscribed. Thank you, Sir 👍🏽

[@CosmicBarrilet]

and i was looking for this tipe of comments...just to save the research...thanks...!

[@jessicagreene8083]

As a person with a masters in math, I am going back and relearning these courses. I was more of a learn for this test and forget about it type of person. Now I know the power of application so that I won’t forget. I love the way you break things down and give examples of how to apply the techniques that you are teaching.

[@mrlucmorin]

Thanks for your videos. I appreciate the pace and the conciseness. You’re not wasting our time with useless details, and at the same time, you’re not over emphasizing the important ones, which in many cases comes across as condescending. I’d say you strike a pretty darn good balance here. Two thumbs up sir!

[@rockpadstudios]

I bought a differential equations book and I'm going to watch these vid's

[@i.b.deplorable]

Jason, THANK YOU! This was excellent and a lot of fun. I am 73 and I recall learning differential equations back in 1967 or '68. I recall that, after I got my head wrapped around them, that the were VERY handy and kind of cool. When I got my BSME I moved into fields involving metallurgy, strength of materials and manufacturing - not a lot of use for Diff. Equ. I forgot most if it, but I kept noticing that everywhere I turned I would see physical phenomenon that would remind me, "Hey, that's a differential equation." Last week, I was filling the sump in my planter box with water from a hose, using a funnel. As I regulated the water flow from the hose so as to not over fill the funnel, it occurred to me that the water flow out the bottom of the funnel was a differential equation involving the depth of the water in the funnel. If someone had asked me to write the differential equation for that and then solve it for D=Depth, I knew that I had forgotten how.. Then I found your video. I enjoyed it so much. Thank you. Differential Equations. - the way you explained them - are actually as easy as I had remembered. Thanks. :-) >Like>Subscribe>Notify>All done

[@jaytolbert7538]

Between you, Nick Zentner (Geologist, Nick on the Rocks, etc.) and Brian Greene (Physicist, World Science Festival, etc.), I am immersed in a world of learning that, as many others have said, I wish I had known in my high school and college years.

[@MathAndScience]

This makes me happy! Good luck to you in your studies!

[@zahid1909]

It is amazing to see so many old engineers are here retaking this video-course of differential equation just out of curiosity; because they didn’t have the best teacher at the best time of their life. Regrettably, I'm one of them. It is the technology that enabled us to locate the best subject teacher on earth. I wish I could start everything all over again! Alas, I may not have enough time left. However, I thank you, sir, for this excellent introduction.

[@nm1978]

My God, you are the best greatest teacher on earth, I don't know if there is or not anyone else that I know that teaches so clearly in detail, you should be an example to the entire world's education systems this is how everything should be taught , instead of long boring lectures, or reading books that are so hard just to understand what they are trying to tell you, because the way books are written is very official language which I abhor, a simple concept that can take one minute to understand takes hours, because the way these evil books are written , the concepts of science, math and everything else are not hard to learn and are actually fun to learn, if it wasn't for these official languages that are used in all books, I am so sick and tired of them. This is how everything should be taught in all schools. Simple, fun and clear. They should learn from you, you are the best and made a big difference in my life, truly American teachers are the best too at teaching. But offcourse your ways of teaching makes it the 👌 best.

[@Max47340]

Sir you are a great teacher! You have found your life’s calling. God wanted you to teach the world mathematics. Thank you for doing a fantastic job!

[@muhittinselcukgoksu1327]

John W., thank you so much. Also me " As a retired civil engineer with Ph.D in CE. ", this splendid instructor is every time useful for who wants the deep of the math...Thank you sir...

[@tonyr.5111]

Thank you sir. After several years absence from Aeronautical Engineering math, I'm experiencing a rebirth of my previously much loved math. You, and your excellent teaching, are making my re-entry into the subject, immensely much more pleasant than I had expected... 👍👏👍

[@Number6_]

After struggling with 3 semesters of calculus I scored a 100 on my diff eq. I found it surprisingly understandable.

[@devondevon4366]

Doing well in Calculus 2 (and mastering integration) is the only prerequisite for doing well in differential equations, well at least ordinary differential equations You have to know how to integrate to do well in differential equations.

[@daning9456]

Very well explained. Same for me, wish I had someone like this instructor. I am a retired aerospace engineer with a PhD in the UK. I would just add that maybe most instructors do not understand the basics, also have little communication power. Must say I find teachers in the US far more easy to understand as they explain things very thoroughly.

[@mostafa12394]

Big respect to this man, he really helped me understanding math so easy. Just think about how many lost students he guided. Thank you so much

[@sdsukareem4378]

First I would like to thank you for your work... I used to be a student in US during the late seventies and early eighties.. Now I'm living in my country in north Africa...Algeria...every day, I go through one or two courses...and it takes me a long time ago...it is a pleasure really... My very best regards, Kareem . .

[@TheSujitKDas]

Learned DE 50 years ago doing a degree in mechanical engineering. Excellent teacher.

[@benjaminriter9639]

He makes everything so clear. I am learning so more quickly.

[@Yatukih_001]

The best part is, he is not plain rude to people who are beginning to become interested in the topics he discusses. Greetings from Iceland and happy summer Rebekah!

[@MathAndScience]

@@Yatukih_001 Oh wow thank you!

[@ramatudumbuya7618]

Yes

[@razalasreficul6902]

@@Yatukih_001 greetings from Denmark!

[@razalasreficul6902]

@@Yatukih_001 kveðja frá Danmörk!

[@juliusnewman2094]

I'll be taking this class in about 2 years. It gives me comfort watching these videos in my free time, so I know how all of my classes fit together.

[@indurathnayake4506]

I’m so happy that I found you , best teacher for maths topics ..haven’t watched other subjects yet .. thank you

[@thomahammer9581]

It has been 55 years since I took DiffEQ. This was a great presentation. I really struggled with Partial Differential Equations. i loved the tie in with physics. It makes us understand real world uses for the mathematics.

[@roswelcodiep.bernardo7288]

Partial Differential Equations is really much harder than Ordinary Differential Equations. When you study PDE it means you are now dealing with three or higher dimensional world.

[@antonkorolev8059]

Great!! I’m so happy I’ve found this!! Amazing job. I guess it’s up to a teacher to make material interesting and easy to understand. Thank you

[@vkalle]

Best comment on an incredible lecture to make differential equations plain and simple. It is the teacher that makes this interesting. Thank you

[@sliderulelover]

This guy is a GREAT teacher! He makes clear what other teachers make difficult. Bravo!

[@E.A-x2j]

fr he made the video so interesting I'm so fascinated by everything

[@angeljohn4019]

Jaison, your teaching skills are one of the greatest. How i wish i had teachers like this, who would make students love the subjects, rather than hating them. Starting to getting in love with maths once again. ThankU

[@jamespaul4618]

So grateful that you created and shared this video. I studied calculus 45 years ago. I memorised my way through the course. Never really understood the processes that were required to solve these problems. The lights have been turned on. Thank you.

[@MathAndScience]

You are very welcome!

[@josetakapele]

I've been out of school for a few years. I'm going back for a Master's in engineering. I'm not an engineer and am a bit nervous about this class. I'm so glad I found this video. He explains things so well.

[@EEAMD-co6nw]

well du-uh, of course you're not an engineer before you've taken your degree. lol

[@devondevon4366]

@@EEAMD-co6nw 'lol'?E.E AMD could have been an engineer with a BS. And there is Master in Engineering for non-Engineers. Boston University, for example, has a LEAP (Late-Entry Accelerated Program for students with non-engineering backgrounds, fine arts, liberal arts, education, English, music. And even if this was not a possibility, so what.

[@EEAMD-co6nw]

@@devondevon4366 relax, didnt mean to give you an aneurysm.

[@devondevon4366]

@@EEAMD-co6nw If an aneurysm can be triggered so easily, then you should be careful in making a big deal out of someone saying, ' I am not an engineer'. 'I am going back for a Master's Engineering'.

[@EEAMD-co6nw]

@@devondevon4366 took you a while to respond. And this is what you give me? Devon .. Devon..

[@mitchblack7730]

This becomes really interesting when you are able to conceptualize on a physical level what the equation(s) is defining.

[@MathAndScience]

Awesome!

[@paradoxdea]

The beauty of this instructional video is...no annoying music!!

[@lyricass7810]

Best channel and best person for best things in worlds ❤, best intuitive explanations of maths topics❤

[@shaboog2644]

I wish there is a way to actually thank this man, he has no idea how much of an asset he is.

[@jitubrahmbhatt6315]

I am learning Calculus- refreshing after 60 years, and enjoying. You are a great Teacher.

[@markarmstrong5848]

I'm re doing all of these areas of Maths as I'm doing a Mechanical engineering course and this really helps so thank you Sir .

[@thaianle4623]

Jason's videos are always my last stop whenever I look for any video explaining a concept

[@markTheWoodlands]

If I were teaching a class on APEX communication, I would use this as an example. Truly brilliant treatment of a complex subject.

[@MathAndScience]

Thank you so much!

[@HenryLuzzi]

@@MathAndScience Thank you for your wonderful instruction, have you published any books?

[@tiggerthecat1]

This is the main problem I have with integral calculus. In and of itself it isn’t too challenging, but the amount of information and ‘tricks’ one needs to retain is so -especially if one must quickly move onto other topics- overwhelming!

[@imanhaji7166]

I have to admit this is the best explanation of diffrential equation(winds from coast of Somalia)

[@maleeshapriyanjana7604]

Even though I have learnt differential equations in university, I did not have clear idea about what I am doing. I just followed the steps taught under each section. From this video I was able to grab the idea behind the concept

[@TC-hh8dc]

Thanks for the refresher. Makes so much sense when I come back many years later.

[@aleksandarlakovic4085]

Hvala vam što ste me podsjetili na dane kada sam ovo učio na fakultetu. Odlično objašnjeno.

[@NicleT]

Thank you. Your course really helped to "integrate" myself to differentials.

[@kanakavenky]

Thanks!

[@MathAndScience]

Welcome!

[@stromboli183]

Great video. Very clear, very informative, and very well explained. Thank you for creating this valuable content, sir!

[@mmka5434]

I love you, your great knowledge and clear teaching! You are outstanding!

[@iguanaamphibioustruck7352]

I took a course in Differential Equations in 1963 and a course in Theory of Equations before graduating with an engineering degree in 1964 from Cal Poly. I have worked in solving engineering problems for over 50 years and have never found a need. Iguana

[@FPVSLO]

He is good teacher. As this example is very clear and no missing explanations. I forgot about diff eq a lot, but now I remembered.

[@simonhunter834]

As a 16yr old I did well in my mathematics exams. The following year I failed my maths exam, as set by the Scottish educational system - differential equations! Sends shivers through me just hearing the term.

[@TenMinuteDrumSolo]

In architecture school in the 70's I had a course called, "Calculus and Analytical Geometry" and another called, simply, "Differential Equations. The textbooks we used were written by the professor who taught the classes. When I've moved house over the years I always took a moment to look at my notebooks from those classes and I'm always surprised at how completely I've forgotten the experience. I aced the courses at the time but now my notes look like they were written by some alien traveler from a distant galaxy.

[@Gamechangerr667]

Lol

[@ivanurbina2422]

Wow! You explain it beautifully from another angle that finally made sense now. Thank you.

[@souravmaji1360]

thanks for linking the math to reality with proper explanation👏

[@wodeyaeric5351]

U can teach this thing,my bro. U make math look simpler than it is.

[@eve-smallie-1436]

am lucky have found this at my young age,,,,you've helped me thumbs up sir all the way from Kenya

[@judesalles]

Fabulous explanation. Wish I had had an instructor this good in college.

[@brendankane1879]

I no know those basics but this makes knowing them a must - I subscribe

[@energyexecs]

...Great practical video and teaching style. The style of teachers are so important. My high school match was not gentle and very strict and I almost flunked. My college teacher (Dr. Wu) was gentle and patient and I earned an "A" in Calculus. You Tube somehow allowed liberation from traditional school. I am like Abraham Lincoln and self taught albeit I did go on to get a BA in Science and the MBA.

[@MathAndScience]

This is the intro lesson in the differential equations course. Everything you are discussing is covered in later lessons.

[@toby9999]

This explanation is way better than I had as an undergraduate but still close to impossible to understand. This and partial derivatives are tough.

[@hossambadawia908]

Great teacher with no doubt, am learning the logic behind the differential equation in this lecture. very interesting and simple approach for beginners. love it.

[@sifisocmyeni1742]

Univ taught me how to solve them, but not how these equations arise nor what real-world story they could be representing. I always wanted to know the possible implication of what I was solving - i.e. what problem it communicates. Well done

[@pbsalyid5323]

U master the topic!! it did really helped me for my exam preparation.!!

[@GHKD2491]

I just saw your latest video and I came across this old video. I have noticed how you made changes around your hair 😊. Aside from that you are the best teacher and have substantial knowledge on the topics that are given. Thanks a lot for all your effort.

[@johnjordan4726]

Wish that I had found this years ago. Bravo!

[@lycanclawz918]

Never gets unclear throughout his explanation, wonderful and motivating to watch his videos👌❤

[@daved3494]

That was excellent. I did this stuff years ago and have decided to go over it again. I don't recall it being so well explained. Thank you.

[@mossed1449]

Bravo. I paused the video and solved ahead to see if I've stil got it. Glad to say it's still locked in. You're a very good and patient teacher. I wish you had taken my calculus back then. And, this here is why laptops plus fast internet access is the best developmental impact investment for children in less privileged localities (so long as spongebobsquarepants is banned on them!).

[@abrahamebyfugui326]

This guy is a definition of teaching. Whereas some of my professors are definition of work-done.

[@MathAndScience]

Thank you!

[@kkartha]

The best teacher for the Subject! Thanks for the upload of the lessons..

[@zuhairalsaffar7001]

SIR you did your best thank you for your kindness like your way of teaching thanks a lot

[@annabellemacinas5492]

I'm very amazed . Good way of teaching..

[@nadeemleon4197]

Sir where is your calculus course I never thought I could get my head around this mother of maths topic

[@dijonstreak]

awesome..i can't thank YOU enough. for a very enlightiening , clarification of , for me a very difficult subject matter...very grateful for your clarification. THANK YOU. !!

[@simplistichometutor4407]

I love this. The lesson is a wonderful one.

[@fabiocaetanofigueiredo1353]

You are a SPECTACULAR teacher. Thank you so much 🙏.

[@MathAndScience]

Really appreciate it!

[@NoajmIsMyName]

You explain things from the root... and make harder things easy.

[@ryanfrizzell736]

I usually like to hear more about differential equations. Keep it coming please.

[@jackbidnik9642]

Superbly presented. For me it's been forty years since I've had anything to do with Laplace Transforms, but following these lectures it all comes back to me, almost. I have nothing to apply these equations to now, but I'm kind of wondering about substituting Laplace for Fourier transforms in the Heisenberg principle, just to see if initial conditions may be cogently included. Well whatever... There is one thing that comes back to me about Laplace Transforms from my circuit work, but I never had an opportunity to work more on it. I don't remember the specific context, but somehow I recall being fascinated by the fact that somehow multiplying by sine is the equivalent of differentiating. Does this ring a bell with anybody?

[@florentinosanchez3969]

Best teacher ever

[@franciswanja8795]

You are such a good instructor! Thank you!

[@dipchakraborty71]

best math and circuit tutor

[@l.s.754]

This man is the money in the bank. People like he should be teaching the way he does. Most ivy league college professors, show how smart they are, rather than, educate. I watch MIT Princeton & Yale, professors, I am confused beyond reality. This Man should be teaching on a major level.

[@MathAndScience]

Thanks so much!

[@kanyamagaraabdallah8300]

thank you sir I have taken my time to follow your lesson up to the end, Real you are a real master I do courage go ahead and teach us, merci beaucoup

[@brochestedbs]

Nice ! You have re-sparked my interest in DEs. I'm off to start reading up about them.

[@thesoundsmith]

A differential equation occurs when one side of an equation is computing faster than the other, like when a factor starts to grow exponentially while the other side only grows linearly. The differential is necessary to keep the equals from breaking. First computed by Henry Ford in December of 1913 with the introduction of the modeled "T," it allows "X' to be equal to both 1 and -1...

[@ArhamKhan05]

Beautifully explained by you sir thank you so much ❤

[@dorothymarfleet35]

Jason is not only brilliant in what he teaches but he also knows how to teach. I left school, (English Grammar School in 1960), yes I am ancient but always loved mathematics. Jason writes legibly, speaks well, writes on a white background with deep colors, does not make #4 look like "Y", . He reminds me of my teachers at the Grammar School in England back then. They too knew how to teach. My first cousin attended same school, went on to Cambridge University where he graduated as Physicist. Thank you Jason, you make my retirement more interesting.

[@MathAndScience]

Just wanted to say I really appreciate your comment. Thank you!

[@daniloromero5975]

Thank you Sir for your very clear explanation.

[@yamiletheisele500]

You are awesome! Thank you so much!

[@itumelenggonane5888]

thank you very much now I know how differential equation works, looking forward for integration

[@02vLxcZF]

Does the format continue to be as insightful when you get to the more complex chapters e.g. solving homogeneous ODEs? Wondering how far you can keep it as engaging as this, as you dig deeper into the technicalities of DEs.

[@devondevon4366]

7:08 I have not seen a physics book for decades, but I am guessing F=ma is a differential equation because the derivative of velocity is acceleration. So, acceleration is the derivative.

[@roberthornbeck3831]

Wow what a great opportunity for high school and college students; I started with AA/AS in Electronics and we did Calculus for electronics which is only a piece of all this, I then got a BS, and then an MS I was working full time for all, and if I had this guy and youtube it would have been 10^3 easier :) EX: my first two years were with a Slide Rule then HP came out with the HP35 and 45 which were modeled after Slide Rules. 1970 after Marine Corp and VN I entered college. Today this would be sooooo much better please KIDs Adults JUMP IN the water is fine. semper fi

[@jacobthomas274]

Well done. Very clear presentation. Seemed to be very tuff subject made so simple .

[@xyz2007123]

You are great at what you do. Thank you for the videos.

[@DAN1180]

Excellent lecture !!

[@rogermorata928]

Your explanation is crazy following

[@arwanpawar419]

Very clear...I am very interesting...go on

[@nelsonwambeo6005]

Watching you from Kenya

[@MuhammadAshfaq-xo6rf]

To the point videos, avoiding time waisting.

[@VINICIUSBH100]

What a rich material in only 4o mints. Thank you

[@estebanmichel2138]

super 👍 intro. many thanks for that smart wayne of ODEs fundamentals

[@MathAndScience]

Glad you liked it!

[@niilarteyalexander2601]

Great teacher....

[@michaelnoronha7386]

Thank you from my heart. God bless you.

[@kervininopiquez104]

This should be the kind of teaching standards that schools/universities have in hiring a teacher. Not just by having masters or PhD.

[@MathAndScience]

Thank you so much!