Physics 19 Mechanical Waves (10 of 21) The Wave Equation in 1-Dimension

[@matrixate]

It takes 5 pages in my textbook to attempt to explain how to use this with absolutely no success. Just a bunch of derivations that have ridiculous gaps of logic. Hours of head scratching has been reduced to 7:30 minutes. Love you professor.

[@xvgx]

Same

[@kingplunger6033]

sounds like you should use a different textbook

[@aybaws]

I think we are reading the same textbook

[@abhinandanmalhotra8519]

I learnt two things here.. First, ofcourse Wave eqn in 1-D and second, that how bad my college lecturer is in explaining these simple things..... Thanks a lot Sir... Really appreciate your efforts !

[@MichelvanBiezen]

Yes, when we were college students (a long time ago), we had a few college professors that wouldn't be able to teach a fish how to swim. That is why my wife came up with the idea to put these videos on the internet. Glad you like them. 🙂

[@abhinandanmalhotra8519]

@@MichelvanBiezenNice to hear that !Please thank your wife on my behalf....

[@MichelvanBiezen]

I will. Thank you. 🙂

[@owen7185]

You were, are and always will be the best physics and math lecturer

[@MichelvanBiezen]

Thank you. Much appreciated.

[@NeelHirani]

You are a good techer I revised from this for Neet examination 2 days before . Respect from Bharat.

[@MichelvanBiezen]

Thank you. All the best on your exam.

[@valeriereid2337]

Thank you Mrs Van Biezen for choosing this topic. Thank you Professor for an excellent lecture. I needed this. This channel is the most reliable for mathematics and physics.

[@MichelvanBiezen]

You are welcome. Glad you find the videos helpful.

[@thatoneguy99100]

Very clear and helpful. Thank you!

[@dhickey5919]

Thank you! We had the Readers Digest condensed version in physics class. This is what I needed to see.

[@MichelvanBiezen]

You are welcome. Glad you found our videos. (There are thousands of additional videos in physics).

[@MrSimbo6]

So simple when taught so well.

[@chojiizeng760]

Very helpful, thanks for helping with my assignment.

[@Sofialovesmath]

You make complicated concepts very easy to understand.

[@MichelvanBiezen]

Glad it was helpful!

[@isp24f]

Amazing! I understood nothing before this one and now it's proven, even for me, under 10min.

[@MichelvanBiezen]

Glad it helped!

[@leoclarkin5944]

brilliant ! Now I understand the wave equation , VMT

[@शुभम-ढ4छ]

Sir please come to India we need teachers like you here

[@MichelvanBiezen]

After I retire I would love to go around the world and do some guest lectures. Maybe one day we can make it to India.

[@शुभम-ढ4छ]

Really wanted to attend your classes physically.

[@atsul.7943]

Very eye opening. I am an MSc photonics engineering student. From High school through college and even to graduate level, none of my professors has been able to prove the wave equation like you just did. I now understand this concept. God bless you. I need to go visit my quantum physics notebooks. I think they will now begin to make a whole lot of sense to me now. You are genius.

[@dvmehta46]

A big salute to you professor ! 👏 👌😍

[@MichelvanBiezen]

Thank you! 😃

[@jezzie7354]

Awesome! makes total sense now

[@herissamalaoui843]

[@gustavoespinoza7940]

This wave equation does not take into account boundary conditions or geometry, nevertheless a good intro to a beginning physics student I would have preferred a the transformation of coordinates u = x-t/v and w = x+t/v to show that any functions in the form f(x+t/v) + g(x-t/v) satisfies the wave equation. In this manner you can extend the definition of a wave to a function that propagates at a wave speed 1/v. You can also use fancy tricks to show that you’ll have waves propagating left and right. What happens on a bounded Domain, what happens on the half real line etc. oh and finding it’s kernel, there’s a lot of extensive literature on the wave equation

[@MichelvanBiezen]

Indeed the wave equation can be presented in a more complete fashion, but that requires higher mathematics than is appropriate for this level. We plan on covering that more as we complete the advanced E&M videos in the future.

[@MarcJensan]

Can someone make a for dummies explanation of the standard wave equation in any given number of spatial dimensions or point me to a book. I understand wave equations fine, but I don't understand the exact point of this. Can the point really only be to check whether some wave equation is proper? Thank you.

[@billnolastname5078]

Very helpful.

[@raheome]

Thank you very much Sir!

[@nicholasgonzalez]

You are a very good lecturer thank you

[@areejareej6833]

I didn't really understand! To prove the equation to satisfy the Schrödinger equation, must the two sides be equal??

[@MichelvanBiezen]

The equation on the left side is the general wave equation in one dimension. The equation on the right is the general form of the wave equation on a string. In this video we are just showing that the equation on the right is a legitimate equation because it satisfied the differential equation.

[@tpmbe]

amazing

[@curtpiazza1688]

Great example of PDEs ! Thanx!

[@MichelvanBiezen]

Thank you. 🙂

[@deepeshharbola3519]

nice explaination sir

[@koroilesikikabara7641]

Thanks Sir. God Bless you

[@MichelvanBiezen]

Thank you. God bless you as well.

[@Mulkek]

Thanks, and it's so easy & simple!

[@MichelvanBiezen]

You're welcome!

[@maksymandrzejdrzyzgiewicz5096]

Sure, but why? Aren't we just reiterating a = a very elaborately? Why is this called THE wave equation? What's the use? My textbook has only 3 exercises on it

[@MichelvanBiezen]

Throughout history people have been trying to find the equations that describe all natural phenomena. In the case of waves we have found the equations that describe the motion of waves. You can plug in time, and the equation will give you the position of the wave, etc.

[@canman5060]

Looks like the differential equation for Karl Terzaghi's Two Domensional Consolidation in Soil Mechanics.

[@adminuniversal]

Excellent! Thanks

[@jinhuatu]

I love you.

[@nicholasnjau3591]

Perfect...thank you very much Sir

[@MichelvanBiezen]

Most welcome

[@knighttime19]

Amazing !!

Thank you sooooooooo much for your explanation!!!

[@MichelvanBiezen]

You're verrrrrrry welcome!

[@alexanderlastname8860]

Hello, how I can find secondary partial derivatives of function u=b(x)cosomegat d^2u/dt^2 , d^2u/dx^2 anyone knows?

[@tchanabachir8254]

thanks a lot sir

[@surendrakverma555]

Excellent lecture Sir 🙏🙏🙏🙏🙏

[@MichelvanBiezen]

Glad you liked it.

[@miladnaeimi1514]

Fantastic 👍❤️

[@MichelvanBiezen]

Thanks 🤗

[@vasanthrajaram1241]

incredible. that's all I can say

[@bronson8x993]

Thank you! Really good explanation.

[@damarismukola2501]

It's very helpfu

[@MichelvanBiezen]

Glad you liked it. 🙂

[@harshidgiriver2007]

That's top notch 👌

[@gamagilang8140]

can u proof that y=0.3tan(2x^2-6xt+360t^2) is a wave equation? please help me

[@MichelvanBiezen]

This video shows you how to do that: Physics - E&M: E&M Radiation (15 of 22) Plane E&M Waves and Wave Equation 1 (String) kzbin.info/www/bejne/iKC1h3pqq610a6M

[@gamagilang8140]

Michel van Biezen I still can't get it sir. can u please write down the step? my equation is too complicated

[@gamagilang8140]

I stil can't get it sir. would u please draw the step for me?

[@vasanthrajaram1241]

does it satsify sine waves of higher dimensions of any wave fronts?

[@BluewatersBlackSails]

Beautiful mathematics

[@Siidinnx]

Thank You

[@MichelvanBiezen]

You're welcome

[@bananablood2031]

Amazing explanation, mate

[@MichelvanBiezen]

Glad you liked it!

[@iguana563]

So How to determine the speed and frequency ?

[@MichelvanBiezen]

Starting with the equation y (x,t) = A cos (kx - wt) w is the angular frequency, therefore f = w / 2 pi k is the wave number = 2 pi / lambda Since v = f x lambda v = w / k

[@iguana563]

@@MichelvanBiezen thank you a lot

[@jonathandobrowolski6941]

You are AWESOME! Thanks

[@lindanorris2455]

I wish that I understood this level of mathematics.

[@beoptimistic5853]

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

[@manzoormuhammed2085]

is it to check a wave eqn is correct ?

[@MichelvanBiezen]

+Manzoor Muhammed It is the basic format of the wave equation in one dimension. We use that for many applications, and one of them is to check and verify if the equation you have is a valid wave equation.

[@int16_t]

I can understand those derivations, but what stumps me is those variable 'k'. By convention what it really is?

[@MichelvanBiezen]

k is called the "wave number". k = 2 pi / wavelength

[@int16_t]

Thank you very much! :-)

[@int16_t]

On a side note, in this equation www.sciencephoto.com/media/594577/view/wave-equation why time and position (x) are written on the other side?

[@int16_t]

And also at 3:51, I believed omega should be positive not negative because the function was Acos(kx-(wt)) Notice I added a parenthesis in (wt).

[@int16_t]

@@MichelvanBiezen I just did some quick derivation and find out it's correct

[@abdullah-al-mahdi125]

Hey Professor... Hope doing well in this hard time... Take love...

[@MichelvanBiezen]

Thank you. We are adjusting. It looks like we are getting close to the end, as the curves for many countries are looking very promising.

[@abdullah-al-mahdi125]

Thank you very much Professor for all these efforts, making things easy for us... I survived EEE course last semester following your tutorials... Prayers for your and your family's well being... Stay safe... Take love... 😍😍😍

[@altansukhenkhsukh3227]

Thank you so much !\\

[@MichelvanBiezen]

You're welcome!

[@riqyrizqyandra2206]

what is partial derivatative?

[@MichelvanBiezen]

+Riqy Rizqyandra A partial derivative considers only one variable a variable and all other variables are considered constants. Thus it finds the change of the function with respect to that variable only.

[@safamohammed5539]

Can I find the solution of Differential equation wave in spherical coordinates

[@MichelvanBiezen]

We will cover spherical coordinated in future videos. (We are still working on this series).

[@safamohammed5539]

Thank you very much

[@20DoseOver]

D'Alembert equation in 1-D...

[@franksaruhan]

Great great great

[@oguzhanenesisk2285]

Wow…

[@MichelvanBiezen]

Glad it was helpful.

[@Harry-cs2zr]

Great bowtie!

[@dr.rasyal3134]

simple and exact...! 😇 thanks a Lot sir.... Lots of love from india....

[@MichelvanBiezen]

Welcome to the channel!