I've noticed that some people have become confused, complaining that "this isn't differential equations, it's physics." Keep in mind that differential equations were invented to solve physics problems. People also say this is calculus, not differential equations. In reality, calculus is one of the mathematical tools you use in order to solve differential equations. In my video, I purposefully kept the differential equations as simple as possible so as to minimize the use of calculus.
@iAmTheSquidThing
9 жыл бұрын
This was a great explanation, but it seems to be about differential calculus rather than differential equations.
@RedTriangle53
10 жыл бұрын
This is just basic classical physics, not differential equations.
@mrrobotica
10 жыл бұрын
This is a good introduction to differential calculus, but not differential equations.
@hafsaimtiaz5832
5 жыл бұрын
Ohh, uh mean this ia not differential equation....
@amandadube156
10 жыл бұрын
That was an introduction to acceleration & velocity, not differential equations! I still have no idea what they are.
@DRCSUDHAGAR
6 жыл бұрын
you maybe interested in my videos "welearnmath". Watch and subscribe.
@griffinjohn3232
2 жыл бұрын
i realize Im kinda off topic but does anyone know a good website to watch new tv shows online ?
@huxleymitchell5407
2 жыл бұрын
@Griffin John flixportal :)
@griffinjohn3232
2 жыл бұрын
@Huxley Mitchell thanks, I signed up and it seems like they got a lot of movies there :D Appreciate it!!
@huxleymitchell5407
2 жыл бұрын
@Griffin John glad I could help :)
@SubaddraSankruti
9 жыл бұрын
Thank you Mr. Brocoum for the crystal clear explanation. Do you have any such videos on calculus?
@PhilipBrocoum
12 жыл бұрын
@spacechick88 Variables (axes) can be whatever you want. I felt that "t" for time made perfect sense, and is indeed the usual standard. The y-axis, since it's often drawn vertically, is often used for vertical height. But the bottom line is, you can use whatever letters you want.
@CocoGras
8 жыл бұрын
This is a great video, thanks. I know this stuff already…but this is such a clear breakdown of everything that it helped reorganize my thoughts. Thank you!!
@Avionics1958
11 жыл бұрын
by far this is the best explanation I have seen so far, thank you
@PhilipBrocoum
15 жыл бұрын
I live in the United States, and we use miles per hour, so in order to relate to my students that's what I use. Mathematics is not physics, and as far as this video is concerned, it makes absolutely no difference what the units are, so I choose to use the familiar ones in order to make it easier. Believe me, many students tune out when you start using words like "kilometers" that they have never heard before and will never have to use (as long as they stay in the US).
@bstrain08
12 жыл бұрын
This video is so good I didn't notice the Comic Sans until 03:57. Seriously, great video. You cover all of the basics very clearly without any extra or confusing information. Thank you!
@taurusgemini4792
8 жыл бұрын
Thank you Philip this was very well done and easier to understand because of the examples. I wish more people use examples to get the point home
@kynigh
10 жыл бұрын
Finnaly I've found someone explaining this using a bit of physics. I'm tired of seeing my school teacher writing "Velocity=Delta X / t" and then when I search about it on the internet, a bunch of derivatives and integrals fly at my face.
@mukulsharma5738
10 жыл бұрын
haha i know that feeling :P :D :(
@glaucomachadocaon5029
10 жыл бұрын
05:11 I'd read as: "The change of velocity, over time." d(dx/dt) / dt Thank you for the clarity of content!
@engineerSalih
6 жыл бұрын
Differential equations are based on a mathematical model of CHANGES in our PHYSICAL world. If you don't understand this, differential equation and its symbols will be just ambiguous abstraction that has nothing to do with your universe. This is great explanation if you want to understand it intuitively.
@aliquewilliams3080
10 жыл бұрын
I'm sorry? This is not differential equations. You just explained differential calculus, which deals with instantaneous rate of change.
@longdragon3
13 жыл бұрын
i'm so glad people like you upload such useful video like the following on youtube, thank you.
@TheLuminousOne
14 жыл бұрын
stedwick, your execution of teaching in this short video is excellent, understandable, intelligent, it's perfect and engages me. even the tone of your voice is perfect, very impressive video for dummies like me to understand!
@postholedigger8726
7 жыл бұрын
This is an excellent presentation introducing the reason for the development of differential equations. Just learning how to mechanically work out equations becomes meaningless without the type of background presented here. After looking at the ignorant comments I am left with the impression that the people making them spent too much time playing video games and have lost their ability to actually think. david
@William_sJazzLoft
10 жыл бұрын
Thanks Phillip; I'm hopeful that this will help me understand the more abstract and esoteric parts of differential equations - Will
@DmitriNesteruk
10 жыл бұрын
Saying that differential equations are difference equations is a bit of a weird statement to make: students should have a clear understanding between discrete and continuous systems. We use Delta for discrete and d for continuous, so your explanation is a bit strange off the get go.
@samirnaikwadi3761
7 жыл бұрын
presentation and teaching was very good. keep moving on and complete my all concepts of differential equations. thanks.
@PhilipBrocoum
12 жыл бұрын
@PauLL95 No, because dt is a single unit, not two separate units. It's like apple x apple = apple^2, not a^2p^2p^2l^2e^2.
@integralmath
12 жыл бұрын
While it is commonly the case to use dy and dx for generic cases, it is rather standard for one to use suggestive notation (t for time, d for distance, r for rate and so on) so as to help keep straight what is what while one is working through a problem. As a technical matter though, it is irrelevant what symbols one uses to represent something provided that the symbols are explicitly defined.
@Erock691
11 жыл бұрын
Thank you for the video, very helpful in recollecting my memories on this stuff! :D
@ammomalik9925
11 жыл бұрын
Contrary to your disagree as saying this is not differential. It is, it differentiate between to, or it brings one formula as V to give a (acceleration), and the reverse of acceleration to get velocity. The author of the video showing how one formula raises to give the birth of the second, and how you can go back in reverse. This video is a good video that shows the roots or foundation of the idea of differential derived method.
@TheEleventhIndian
12 жыл бұрын
Excellent! Differential Equations and arriving at solutions or identifying a 3rd variable by identifying 2 known and fixed variables provides a strategy and helpful tactics with regards to critical thinking and applications to Human Resourcing. I should add this video or parts of it's logic to Leadership Continuum training. Thanks!
@asmcriminaL
13 жыл бұрын
Thanks I always wondered about differential equations. I am currently in intermediate algebra, i need to take DE eventually for my majors.
@elranitya
9 жыл бұрын
Very well explained about the basics of velocity (dx/dt) and acceleration.
@saadfarhanali4989
5 жыл бұрын
Thank you very much, it's very good explanation for derivative of accelration
@darkspace08
12 жыл бұрын
WOW!!! excellent brief explanation! Thanks a lot.
@MetalTala
12 жыл бұрын
@Stedwick what if it was dt x t? would it be t^2d
@trommelbiel
12 жыл бұрын
Thanks for refreshing my math.Really useful.
@igotsth
7 жыл бұрын
can please somebody answer me? At 5:24 we do not need brackets for dt^2? like (dt)^2.
@wagnertamas
15 жыл бұрын
Thank you very much, very clear explanation. Great job :D
@gerald_the_science_guy
9 жыл бұрын
does this guy even know what differential EQUATIONS are??
@knuid
12 жыл бұрын
Thanks for explaination of where the notation of the 2nd derivative comes from. I couldn't find that in my textbook!
@amannvig
13 жыл бұрын
Nice , more of this kind of topic explanations with practice material from brocoum . very nice video
@nidurnevets
9 жыл бұрын
Excellent explanation. I am trying to learn these concepts from the beginning. Very useful video! Thank you!
@jameserayburn
2 жыл бұрын
Wonderful explanation!
@baderalharbi2624
8 жыл бұрын
thx very much. ..u r someone. ..In fact they need to understand the concept
@sahibgasimov4907
4 жыл бұрын
In the first step it's very perfect to understand the differential in terms of speed and acceleration.
@cyliachipara6782
8 жыл бұрын
oh oh excellent explanation i luved this so helpful thank you
@Smeak686
14 жыл бұрын
Very informative video. Makes Differential Equations seem very easy.
@LOTIL62
15 жыл бұрын
To be honest, Most high schools after you take Calculus (considering you get up there), you end up taking Statistics. Most "AP" classes only teach up to what in colleges is called "Calc II." Diff Eq is something most people won't see (and need), it is mostly taken by Math, Engineering, Physics, and possibly some Chem majors.
@shohelbd8931
6 жыл бұрын
Yes sir I learned from your Vedio which I never get from some others. And what axcetly I looking was. Thanks sir.
@warronfrench8163
9 жыл бұрын
Sorry for chiming in again, but you may want to specify v(sub i) and then v(sub f) or some relevant syntax; because v-v = 0 (zero). v(sub f) - v (sub i) = (delta) v and divided by the instantaneous time"stamp" differences renders the value of acceleration.
@Mathbihi
15 жыл бұрын
the Leibniz notation (dx/dt) make the derivation easy to understand.. great work thx
@hsiehkanusea
10 жыл бұрын
Outstanding. Near-perfect elocution is a part of it. Clear graphics another. Breaking it down, then breaking it down further -- all good.
@MaV3RiKx
15 жыл бұрын
o wow so much better than just getting equations and being told when to use them. wish i would have learned this way.
@mukulsharma5738
10 жыл бұрын
Thanx For uploading this video .. this video seriously helped me alot !
@MrBriandrifter
12 жыл бұрын
how can you know that from 72 up 144 by figuration ? im stock with your graph....help me out ! plz thx
@imegatrone
12 жыл бұрын
I Really Like The Video Differential Equations Introduction From Your
@qzorn4440
9 жыл бұрын
I was passing a car on ice at a (dx/dt) that made my calculations incorrect. Nice Lec.
@prakashexe
11 жыл бұрын
Perfect explanation!
@spacechick88
12 жыл бұрын
I wonder if it might have been better to label the position variable "dy" instead of "dt" as the first derivative is usually written "dy/dx." Also, I believe that he says that position is determined by movement along the x-axis. I was led to believe that the position of an object is indicated via the "y" axis and that the "x" axis is usually reserved to show time. In other words, delta y (the change in position) OVER delta x (the change in time). Someone please correct me if I'm wrong!
@enthusiastmathkid
13 жыл бұрын
@borisjakovljevic , this is kinematics(physics) stuff that I’m learning now. As a 9 year old I have learnt certain topics in algebra/calculus (see my channel page) by using only basic building blocks as integers (+ve & -ve) , fractions, X-table, BEDMAS rule (integers, fractions & decimals). Once I mastered those, any higher level math concept can be learnt & understood using those basic foundations. I’ve just started learning how to solve first order differential equations only at this stage.
@Biswadeepable
8 жыл бұрын
Much better explanation than Indian teachers in 11th standard......
@TheMakefate
12 жыл бұрын
you are explaining well philip...:))
@shrinathm.g.8183
8 жыл бұрын
Awesome presentation with clarity
@venkatmanikyala4810
8 жыл бұрын
Thank you so much. Explanation is very good. I like this video
@theclint88
15 жыл бұрын
Indeed. It is necessary to say that the values of dx or dt are taken to be infintessimally small, otherwise it isn't instantaneous, it's just Δx and Δt.
@davidkrowa4153
8 жыл бұрын
this did not help me understand differential equations, it was just a good example of deriving velocity and acceleration from positions
@LoveAdrins
15 жыл бұрын
This is so good!!!!!!!!!! Bravo!
@balajiprasannamy4995
11 жыл бұрын
Thanks Much.. I got a very clear idea on Differential equations.. Nice Video.. :)
@adam3141
14 жыл бұрын
@tyson666999 d/dt is Leibniz notation.. I think. I am only learning myself; It is a way of saying "the rate of change of ..something.. with respect to t. dx/dt would be the rate of change of x with respect to t. (d/dx) x^2 = 2x. This means that if you pick a point on x^2 then at that point the rate of change of the function (x^2) would be 2x.
@SvobodovaEva
12 жыл бұрын
This is great, Thank you so much.
@sdsuengr24
14 жыл бұрын
This is great! What program did you use to create the presentation?
@TigRdk
12 жыл бұрын
at 03:04 shouldn't it be m/(s*s) and not m/s/s ? since the seconds are multiplied in order to become squared..?
@sextolife
7 жыл бұрын
Hello sir may i know why General Solution(GS) Form is decided? if roots are same/different of ODE?
@rajandaniel24
11 жыл бұрын
You made it easy brother :) thanks.
@Crypton1989
15 жыл бұрын
love it! just simply LOVE IT :D Thnx a bunch!
@lessedu
14 жыл бұрын
thank you so much for this, its a really big HELP!!!!! THANKSSSSSSSSSSS
@jbong9421
10 жыл бұрын
Great explanation and more power
@MsAla93
12 жыл бұрын
this was AMAZING . thank u very much
@hannahnelsonjasper6022
2 жыл бұрын
Thank you sir for your clear explanation 😊
@jonathanmutema323
9 жыл бұрын
great staff right there so helpful like thay
@M07RealKing
7 жыл бұрын
Man, you are a hero.
@charan305945
7 жыл бұрын
excellent sir.. explained in a very simple way
@johndoe917
12 жыл бұрын
I could see that the constant acceleration is like a pattern, which can be used to know the desired number in any pattern, because patterns are always constant. I just never thought that a difference equation is so general.
@tyson666999
14 жыл бұрын
what is the purpose of d when explaining v over t, does it even need to bee there
@vivekraja4663
5 жыл бұрын
Excellent sir... Thanks
@chestypants78
11 жыл бұрын
Great video, very clear. Except, for the 'end v = 144' part. You just skipped past it. Would I be right in saying that x.t.v= 12x10x1.2= 144?
@nadeemleon4197
5 жыл бұрын
Why did u multiply it by 12 plz if u can explain ? Thanks. Also why is it an unusual speed ?
@shrinathm.g.8183
8 жыл бұрын
Nice one. Topic of video to be named appropriately
@LuisMunozCompScience
11 жыл бұрын
Good presentation of the fundamental concept of phisics on how to obtain velocity and accelaration, using the position formula. Obviously you needed calculus to diferentiate (derivate), dy/dx or X' x prime. as for other tipe of notation. good presentation and well explained. but calculus is present in the differentiation.
@13queencoffee72
6 жыл бұрын
This is what I am looking for. The principle/whatz going on behind tedious Calculus calculations. Thankz a lot. ^^
@DRCSUDHAGAR
6 жыл бұрын
you maybe interested in my videos "welearnmath". Watch and subscribe.
@mhj.xd7
6 жыл бұрын
excellent video for introduction to differential calculus... nice
@inspiration7
8 жыл бұрын
Seems application in physics instead of differential equations
@mrjnutube
6 жыл бұрын
Are you suggesting that differential equations are no used in physics? Eish...
@loveislam9174
7 жыл бұрын
I have cleared my problem from this video thanks
@DYoung2112
11 жыл бұрын
Good informative video.Thx for posting.
@elizze6
14 жыл бұрын
thanks! I actually got most of it.
@almog788
10 жыл бұрын
This is just basic kinematics. What does it have to do with differential equations?
@PhilipBrocoum
13 жыл бұрын
@ManolisPetrakakis I'm amazed by how many people don't understand the difference between math and physics. A differential equation is an "equation" with "differentials" in it, obviously. Physics often USES differential equations, but saying that "that's not math, it's physics" makes no sense at all.
@TheBarrett1971
12 жыл бұрын
Awesome explanation my friend.
@tumbashdewan9409
7 жыл бұрын
excellent explanation about velocity, acceleration and gravity but not differentiation!
@RahmanNatureExploring
6 жыл бұрын
Sir give me an example of non exact differential equations in which all five rule fail ,five integration factors fail??
@robertfaney4148
6 жыл бұрын
Ok, what about the dt^2 - that is dt^2=d.t^2 and not (dt)^2=d^2t^2. So according we should have d^2t^2 in the denominator , right ??
@booJay
Жыл бұрын
Had the same question
@physicskid1
11 жыл бұрын
Well, actually m/s/s is equal to m/s^2. The way to look at it is (m/s) * (1/s). When you said (m/s)/s, that's actually the same as (m/s) * (1/s). The other with m/s * s is like saying (m/s) * (s/1) = (ms/s) = m. Does this make any sense?
@vikiboyable
11 жыл бұрын
лучше чем меня в институте учили Безклубенко и Балина люди не умеющие учить Thanks mate keep doing in the same way !!! Our teachers at University KNUBiA in Ukraine can not express simply as you can do it !
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