The Wave Equation for BEGINNERS | Physics Equations Made Easy

[@ParthGChannel]

Hi friends, thanks so much for watching! If you'd like to see more about the wave equation, including a discussion about the solutions of this equation, check out my video here: kzbin.info/www/bejne/rmPFdWWHnbSrmpI And as always, let me know what other topics to cover in future videos!

[@AmitKumar-oq6qu]

This video ended very quickly , would have been great if it were a bit longer. All I want to say is that , this was very good.. ❤❤

[@naman4067]

Nice video paji

[@kaviya4062]

Sir could you please teach me what is potential difference high potential low potential our books have only definition I literally understand something form that

[@MarceloUmeda]

Parth, for the sake of education, I hope you take teaching for a career, or the world will be losing an amazingly gifted educator.

[@sjlegends]

Nah, we cannot really do this same kind of explanation to a group of individuals, where the interest level of individuals is a distributed function. I think youtube is a very good platform.

[@therandomvidguy5141]

or not cuz he will be something much better for his own sake. Don't tell him what to do, let him lead his own life.

[@Zssprime]

@@therandomvidguy5141 lol chill out, he wouldnt decide what he would do with his life through a youtube comment The comment was meant to be a compliment

[@joeboxter3635]

Yes, he is a gifted educator. But I ask that he organize the order of his play-lists.

[@Someone-lf7iz]

@@sjlegends I completely disagree. Most of the students I'm in class with are extremely motivated, and instructors who can actually break material down are heavily sought after. One of the problems with universities is some of the most brilliant people can't always teach. It's a problem in many engineering classes, especially the more advanced ones.

[@epromee]

8:22 "Let's differentiate YOU with respect" Thanks for the respect, but I prefer to stay integrated :)

[@bebarshossny5148]

yeah same man i'd actually like my laplace transform taken

[@shashwatsen7150]

But i will integrate you by parts

[@ZakharBocharov-o4b]

You're so antiderivative...

[@anwesha9580]

Couldn't imagine of such a simplified explanation of seemingly complex wave equation! Really grateful for this...never stop making videos!! They're so helpful!

[@alirezanabavian771]

I am an electrical and electronics engineer myself and I have seen many professor's and highly talented engineers but hats off to you since your on my top list for the best instructor/professor ever seen..I really enjoy watching your videos..you are such A gifted talented technician ...and I by technician I mean the you have it in your DNA...so plz never stop what you're doing...

[@alirezanabavian771]

Plz omit " the " after "gifted "

[@emilylancaster8993]

spitefully growing out your hair and beard to annoy youtube commenters is a MOOD

[@alfredwilliamson9763]

It’s so helpful having someone who actually explains it all without assuming you already understand A level and university level Maths and Physics.

[@Kni90270]

Dear Parth, I should say you are the best person who clearly explains the basics of physics. I have a Phd and now I am recapping some basics from your fabulous videos :) best luck. You deserve more likes and subs.

[@ivanmarianek35]

You could make a video about Navier-Stokes equations.

[@leonardoalanis220]

You just remembered me that I just handed in a homework in which I had to prove that the Navier Stokes equation for linear elasticity in 3D follows a classical wave equation.

[@guitarttimman]

I'd post a video of it, but I'm too afraid that my head might explode. :)

[@JousefM]

I did a full derivation on the NSE if you would like to have a look.

[@engineering_by_samir]

Hello Ivan, I have a video about the Navier Stokes Equations and how I can simplify them and Solve them. But this video is in german. Here is the link for my Video of N S Equations kzbin.info/www/bejne/p3TXXq1qoa-Vg6c Please let me know if you liked this video :-)

[@prashantjadhav9872]

We also use the same in fluid mechanics.

[@raghdaelraaie9335]

I just wanna say, Thank you so much for making those "the" wave equation videos 👏 because I really hated how our curriculum is so dull and abstract, but you made things so clear and sensible, especially with visual and analysis 👍

[@imanabu5862]

I just love you man, I love what you do and I love how you make me love my major after I was traumatized by it in my freshman year ! I can't even express how thankful I am for all those youtube educators out here, they , and you Parth deserve all the credits❤️❤️🙏

[@fatimaamin-j2j]

Loved it. Helped me restore my basic understandings which had gone all fuzzy.

[@zahraaa59676]

this video felt like it was aimed to teach the physics side of waves more than math. And while I was looking for something for math, I loved this video. The explanation now makes me know what in the world I am actually solving, and it was an easy and nice briefing to make me even more ready to jump on the math side. And lets not forget the equation shown in the video with the detailed solution, which was super helpful. Now I basically just need to find examples and practice. fun fact: I watched this video in the middle of my math class because our teacher is quite hard to understand.

[@calvinnewkirk4232]

Parth, as a non-physics student I have been trying to sit in on some open course ware physics classes. The prof obviously believes the students already understand what you just explained, because he doesn't explain it in his lectures. The students must get it from their books and homework which I do not have. I can't tell you how great it is to find this video. Now, I get what is going on in class. Thanks. Cal

[@kumar7359]

Thanks Partha. I graduated in Electrical Engineering 35 years ago. Never worked in that field at all. I am right now so happy to revisit all that I studied long ago. Wish you the very best.

[@alwaysf2p709]

Am currently studying electric al engineering can u give mes some tips sir

[@kumar7359]

@@alwaysf2p709 sure. what kind of tips that you want to know?

[@yuvrajmurali8012]

Upnext : One Dimension Heat flow equation..... please!!

[@ParthGChannel]

Great idea, I'll add it to my list! Thanks

[@executorarktanis2323]

yeah please

[@cristianpaulnitulescu9715]

@@ParthGChannel please I beg you could you add einstein field equation on your list too

[@guitarttimman]

What is the first law of thermo-dynamics. LEARN THAT AND YOU CAN SOLVE ANY PROBLEM! (not really! I just typed that because it looks cool.) :-|

[@thewhizkid3937]

some thermodynanics would do.

[@abhishekprasad6350]

If anyone really want to learn what exactly differentiation is the you should what the calculus series of 3Blue 1Brown

[@ParthGChannel]

Agree!

[@SonuKumar-fm3jn]

Ok I am moving towards than.

[@informationparadox387]

Yeahhhh....Thats just Awesommmeeeeeee!!!!!!!😍

[@rajaradi802]

@@ParthGChannel Agree!

[@markbell339]

@@ParthGChannel Thanks for using the same car example to teach. Lots of people see it and you helped those people bridge the gap I think

[@drunkmadala]

At first I was intimidated by this complex equation; thanks to your explanations. I can't believe how simple this equation is.

[@Expatkeys]

Really like the fact that you add context and don't just talk about this in isolation, such as this is just one wave equation and at least talk about the existence of the other wave equations

[@das250250]

Fourier series and transform :-)

[@BobK-NH]

Yes Fourier series and transforms appear frequently in chemistry and physics text books. Example is FTIR Spectroscopy

[@guitarttimman]

Fourier? Whart a joke. I suppose next you'll be telling me that there is a Fivier or Sixier series and transform! It doesn't exist? :-)

[@thewhizkid3937]

Linear Transformations lol ?

[@michiele3479]

@@guitarttimman It does exist. try to google it before making a reply

[@MateusCavalcanteFonseca]

I see a lot of science videos for at least 10 years. Your explanation was one of the most powerfull, in regard to be understandable, i ever seen.

[@emrecimen007]

Great video! Loved the explanation, it was very understandable even for a second year high school student. Keep it up, love your videos!

[@ParthGChannel]

Thanks for watching, glad you could understand my ramblings :)

[@watermelons2921]

This is one of the best descriptions of a derivative I've ever seen

[@whenwhathuh]

First, your videos are awesome! Second, I have an engineering degree and I'm sure there are plenty of other users on here who would like to hear more about the deeper math. So I would like to put in a vote for videos which are "way too advanced" :D

[@richardhead8264]

_Parth, your cranial foliage is _*_glorious!!_* _And so are your explanations!_

[@anisahmed4799]

I, Dr Anis Ahmed , Professor in Medical College at Udaipur,Rajasthan,India following you since last 2 years. I fond of physics especially Quantum physics. Please make a video on quantum fields . Your way of explanation is excellent. Keep it up

[@JulianJawadAhmad]

You are truly a great explainer. There are very few people who can make basic things understandable so easily.

[@exo-580]

i was struggling to relate why i'm studying vector calculus but here they find ubiquitous applications. Love your informed videos Perthvlogs💙💙

[@gavinyu6251]

I love you. Never stop making videos like these

[@Someone-lf7iz]

This is the first video I've found that can explain things in a way that makes sense. I would pay you to do videos like this on discretization/finite differences with the linear advection equation, going into the modified wave number, truncation errors, etc. However, that might be a little specific to CFD, but maybe not after seeing this? Seriously though, I've been skimming through videos and content for weeks. This is the only video that made sense.

[@markbell339]

You helped me understand another reason for the standardized use of specific simplified scenarios - in this case using the position and speed of a car to teach derivatives. What a wonderful way to help people form interdisciplinary connections faster. Thank you for this video.

[@ArghyaDutta-m8j]

I have been doing differentiation for a while now and I just gave up on knowing what and why I am doing this glad for explaining

[@MrRickinVirginia]

I am very impressed with your ability to clearly explain the otherwise dense & complex nature of “elementary” physics. Gud on ya.

[@helmutalexanderrubiowilson6835]

As a teacher i must say you are a fantastic teacher. Very clear explanation you should consider to write a book filled with your colored drawings by hand and explanations of every detail... I will buy it for sure

[@anderson8383]

This got recommended to me. Reading the comments is like whole other language lol.

[@guitarttimman]

Isn't it absurd to think someone could take a derivative of a function while holding certain other variables constant?IMPOSSIBLE! :-|

[@kakalimukherjee3297]

@@guitarttimman You can think of it like this: Imagine standing on a valley. Now you wonder about taking its derivative; but it's futile, for the valley is three dimensional, and we learnt derivatives only for two dimensions. No problem, brother! Bring it down to two dimensions! Take a knife and cut through a cross section of the valley. What do you see? You see the outline of the mountain and the valley in the section you just cut. That's a two dimensional function. Differentiate the heck out of it now. Did you see what we did here? We fixed one of our coordinates (by slicing a plane at a particular place) and then differentiate the other. There you go. Well, you can watch a lot of videos on KZbin about this visualisation. Partial differential equations come in handy while doing waves, heat, oscillations and even quantum mechanics. Thanks, A. Mukherjee Kolkata, India

[@guitarttimman]

@@kakalimukherjee3297 I got you. I was utilizing sarcasm. I know about the del operators, gradients, and directional derivatives. I learned that a very long time ago my friend. Also, it's good to understand that the magnitude of a cross product is the same thing as finding the area of the parallelogram that is formed when opposite sides are completed. That's the idea of deriving the surface area formula in 3-space. The directional derivative dotted with the gradient points in the direction of steepest descend/ascent. I also understand what Gauss and Greene contributed to to the subject Sir. Have you seen my videos? I have a nice demonstration that proves Greene's Theorem that links the line integral to double integrals and later the "CURL" determinant operator. I also ACE'D Differential Equations brother. That was a long time ago. LOL

[@guitarttimman]

@@kakalimukherjee3297 LOL I can't believe you fell for it. Sorry.

[@guitarttimman]

@@kakalimukherjee3297 What's your opinion on time travel? Personally, I think it's possible. I have an idea for another approach too. Yeah, I know about Dr. Mallett's light bending machine which is not practical. You should see what I came up with in my early 20's. I've kept that to myself. It's dangerous. I did that way back when I was an erudite student of mathematics at Purdue University. It's scary stuff man!

[@Jehannum2000]

A truly excellent video. One suggestion I have is to copy-paste (or re-do) the section on differentiation into its own video. Subsequent videos involving calculus can reference this, removing the need for repetition.

[@alexandrvoronkov7530]

Thank U!!! I"m old pens from SPb ex-scientist microbiology with great pleasure to know a new branch of knowledge that I didn't know when I used to have a job

[@adochshanov]

Pretty clear, thank you very much. With this kind of videos for those who interested we'll make the World a better place to live in.

[@akshatnerella5995]

I have been searching for these kind of videos for a long time. I think I found the right one. Kep going

[@costbart]

I've been stuck with understanding the concept behind the equations, but it's quite intuitive when you think about it. Great video.

[@Footparth]

from one Parth to another, Thank you! i think you just saved me with my exam

[@lameiraangelo]

Intuitive explanation... you're the best.

[@tejobhiru1092]

THANK YOU SO MUCH...!!!! i really appreciate how you broke down the concepts so the eqn makes 'physical' sense..!

[@gamerino1096]

bro I have my physics olympiads coming up and as a 9th grader, I found this video amazing as it was easy to understand

[@sbergman123]

Thanks Parth. You are helping me out a lot with your videos. Math concepts are starting to click (And physics as well). I haven't done any decent math in waaaay over two decades and am currently reviewing undergrad precalculus (trig and algebra as needed) so I can sink my teeth back into calculus again. Your vids really deal with technical stuff in a down to earth and unpretentious (is that even a word? Lol), err ... simple manner. Hell, even at 55 it is never too late to learn.

[@andreylima-geofisica1563]

Best explanation I have seen in a while. I am teaching seismic wave theory, in Portuguese though, but I am going to point your work for others. Thanks.

[@Juliandav0908]

First time I watch a video of yours. Bravo, great explanation. Keep it up.

[@renatolara1545]

This video kinda motivated me to study mathematics during quarantine

[@anitahill8801]

How did it go

[@Tom-sp3gy]

You are a genius at simplifying physics!!! Thanks a lot for all your great video uploads.

[@housamkak646]

Well I think of it this way: The second partial derivative with respect to time is essentially acceleration, and the second partial derivative with respect to x is the curvature of the wave. So the acceleration of the wave depends on the curvature. Now why it gives us the shape of a sine or cosine? Well because think of it this way; as it is curving down, the wave thinks that it is going to attain equilibrium, that is the acceleration becomes zero.When the acc is zero the speed becomes constant thus it still carries some energy so it overshoots the equilibrium position downwards, and as the curvature increases as the acc increases, and then it goes upwards, making the same phenomenon happen(overshooting the equi). As for the heat equation, which only has differentiation with respect to time once, the curvature depends on the speed, however when it is approaching equilibrium, the speed will become zero this is why it doesn't overshoot the equilibrium position, and just tends toward the equilibrium position as t goes to infinity.

[@yourlordandsaviouryeesusbe2998]

Brilliant

[@TrendCast314]

Thank you, Sir!

[@NedStarkZA]

Bro, I've been doing advanced math for a long time and I've always known that the derivative of sinx is cosx but never really interrogated why... now it makes sense!

[@yashhkotecha2647]

I (and I'm sure a lot of others) would LOVE to watch a series on the Einstein Field Equations (EFE) explained by you. I have been following you for a long time and your explanations are phenomenal. Since you mentioned in a previous video that you are brushing up on General Relativity, an intro series (or whatsoever you believe is right) on EFEs would be LOVELY. Thank you Parth bhaiya! :) @ParthG

[@piyushpriya6973]

EFE would be phenomenal

[@youkaihenge5892]

Solving the Wave Equation with Fourier Series and Vectorspaces is really a great time! One problem takes like 1hr to do 😃

[@Oristes]

This was the best explanation of the wave equation that I could find. And you explained differentiation so clearly. Thank you so much for this. Do you have an explanation for the Schrodinger equation as well?

[@MartinStaykov]

Veery well explained, gave me a better intuitive understanding for what u is and why both sides of the equation have to be equal.

[@TheSIDHARTH007]

bro... You did great work... Appreciate your efforts..!!

[@gokulaashiq9372]

Good one Parth 👍❤

[@nobisphysics7651]

I want you to explain " The Standard model equations or Equations of everything in the Universe ." Otherwise Please explain the concepts Newtonian Physics , Relativity, & Quantum Mechanics in a serial order. If not possible then explain the Einstein's field equations.

[@alexandergarcia6479]

wave physics is the principle of quantum mechanics, you must to understand this first to understand quantum mechanics

[@ParthGChannel]

All great ideas! Thanks for commenting :)

[@nobisphysics7651]

@@alexandergarcia6479 I know but that's too basic. I want him to move forward explaining more concepts(in a series) rather than random equations.

[@thewhizkid3937]

Albert Einstein's field equations when solved, I believe there is like 10 of them, yield or rather give us potential interpretations and outcomes of our universe. It is wise to assume, we live in the multiverse, theoretically speaking and the colliding of universes is possible, but repulsion is also possible, given the laws of attraction.

[@mohammadbinmahbub9160]

Thanks to this I have gone down the rabbit hole of PDE study. cool thang!

[@ihsanafeefapm9060]

you are too good in this manh.excellent explanation .just feels good

[@Teachers-r8h]

Very Good Explanation. D"Alembert's equation for wave propagation nicely explained.

[@curlyhum1276]

so a photon has mass, light is mass that moves in waves out from a source! if you take one wave and measure it , it moves up and down at the speed of light C. energy in the form of electricity enters a light bulb where it enters a small filament that when charged gives off what we see as light. over time and speed using this equation science subjects can measure its location in space as the wave propagates 186 m/sec. and at any point on the wave you can calculate the probability of finding a particle in or on that wave. my question for G is how do i collect the light waves in space converting light waves into electricity? PV panels. great introduction of the base wave equation, base differentiation is taking the slope of a curve, f'(x)=lim/h->0 f(x+h)-f(x)/h The derivative of f ( x ) with respect to x is the function f ′ ( x ) and is defined as,

[@Lawdsnaxx]

Dude I got a bachelor’s in mechanical engineering without ever knowing why cosine is the derivative of sine 😂😂 Your graphs made it crystal clear as soon as I saw it on screen. I slapped myself in the head for not noticing it until now.

[@salmanzafarsatti1346]

Great explanation. Actually I really like your screen explanation setup. Can you explain how you do this thing?

[@julesgoubert]

Great video, thanks a lot for putting int the time to explain this to us!!!

[@kushagrasachan8933]

Possible correction: being a bit pedantic here, but the equation being linear not just entails having the variable u appearing linearly but also the derivatives appearing in their linear powers, i.e. *no* allowed {(∂^2)u/(∂x)^2}^n terms, where n>1. Magnificent explanation in the video though! Loved it :D

[@Marketspoons]

Could you explain methods used, to create or generate an equation to solve a problem you may come up against? Great video explanations top class! Thank you

[@tobydunbar1153]

Parth, you're an excellent teacher!!! Your explanations are succinct, clear and very well presented!!! Thank you so much!!! I love your hair and beard, too!!!

[@giovannimariotte4993]

Look man i just dont know how to tell this...INCREDIBLE you gain a fan

[@vitruvianstickman2040]

Awesome. Well done. I especially liked your use of "uppy downiness" and "wobbliness". LMAO You'd be a great Physics teacher. You have a new subscriber sir.

[@cherishnnn237]

The best video ever! You are my life savior. Thanks

[@babayaga1698]

You could not explain this more easily...no one can...kudos.

[@cameronspalding9792]

@14:53 if you do multi scale analysis with the Klein Gordon equation you end up with the Schrodinger equation

[@stefan2028]

Thank you soooo much!! This is so helpful! The explainations are utterly great!

[@soumikpal8910]

Great video 👌 . At 5:26 shouldn't it be 'velocity' rather than 'speed' . I think that would be more technical isn't it ???

[@ParthGChannel]

Well it depends, velocity would be the vector quantity (which we get if we differentiate displacement). I've been a bit lax with my definitions in this video, to make sure the concept is more accessible to understand!

[@soumikpal8910]

@@ParthGChannel not a problem . Keep up the great work 👍

[@danielschwegler5220]

no

[@prashantjadhav9872]

Ya. Velocity and speed both are different.

[@shayanmoosavi9139]

We're only dealing with a one dimentional wave so they're the same.

[@taseenbanu3828]

Thank you so much for explaining us very clearly and very easily.Really all your vedios are very very interesting and helpful.

[@stvp68]

Differentiation: nicely explained, at least to someone who learned it years ago but doesn’t use it regularly

[@noornedal4574]

in love with this video ... made alotaaaa sense

[@armandocastaneda1546]

Wow man I have to give it you this was an absolutely amazing explanation..

[@omerabuagla427]

You are doing great things here 🔥🔥

[@GRasputin91]

This is more informative than anything I ever studied in a math textbook. Math textbooks are written by left-brained people and only left-brained can really absorb the information that way. I need visuals and examples and less technical language and that's where videos like this come in

[@aamir122a]

Your explanation was very clear, as I understand we are taking the derivative twice, my question is what is the practical application of the wave equation, I mean the end game. My suggestion for all your videos would be to tie abstract concepts with some real-world applications.

[@ashishkumarvishwakarma4583]

Your explanation about the wave equation is really lucid and easy to understand. I have another topic for you to explain. Would you please explain the physical meaning of Maxwell's equations in both integral and differential form?

[@SaberTooth2251]

Angular frequency really ought be called temporal frequency, and wavenumber spacial frequency. It makes it so much clearer

[@calvinjackson8110]

Well done. I will look at this again. I learned a lot. Thanks. It will help me teach so much better.

[@hasiburrashid1966]

Beautiful video...thank you!! Love from BANGLADESH ❤❤❤

[@mahboobhossain3301]

What about the wave which is superposition of two waves....Also w/about the wave which doesn't travel... did you view Harmonic waves equations??

[@mwerensteijn]

Thank you so much for creating this video!

[@visheshupadhyay7775]

Hello sir, very nice explanation. Please lemme know which app you use to make videos. I mean the animations were fascinating. Please reply. Namaste 🙏

[@nandaballabhpant9557]

Now, l have understood how this wave equation appears so. What a deeper step to step presentation you give , that is the reason. However, equating left side of the wave equation to its right hand side how the proportionaliity constant is equal to velocity square is there you have skipped that.Perhaps it may be fitted dimensionally Anyway keep it up.

[@pietboy]

Are we always having the speed sir?

[@mandresyfalimanana3538]

🌅🌅usefull for those who learns more about physics!!✨✨ thank youuu. This channel coud be an educational dream🌾

[@shaktikashyap6]

Nice brief explanation of Derivatives but if someone finds it confusing you can watch khan Academy's video of Derivatives. By watching First two videos of derivatives anyone can get derivatives intuitively. Good luck 👍🏻

[@msibai]

Excellent.... simply marvelous

[@RARa12812]

Wow...amazing graphics...may I ask what program you used..

[@hasan1066]

I love the way you explain ❤

[@Mulkek]

Thanks, and it's so easy & simple!

[@ishanagrawal922]

Such a brilliant teacher !!

[@bananablood2031]

Beautiful explanation, mate