PDE 13 | Wave equation: separation of variables

An introduction to partial differential equations.

Topics:
-- idea of separation of variables
-- separation of variables for the wave equation (3:58)
-- summary (16:46)

[joewilliams]

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[AdmCornFlake]

Absolutely incredible explanation.. I love anyone who can convey seemingly complicated concepts into simple terms, and you absolutely did that with this video. Thank you.

[OswaldChisala]

This is by far the clearest seperable PDE video I have yet come across online. Thank you for the presentation, it was very intuitive, informative, and well within the margins of conciseness. :) Keep at it!

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[oscarbruno]

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[moaz_qz]

Concise, to the point, and great explanation !
Life saver, thank you

[michaelmead]

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[superphilschneider]

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[abdelrahmangamalmahdy]

this is a great video, most people don't know any thing about the partial differential equations ... thank you so much

[someonetoogoodforyou]

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[PhantomKenTen]

where is pde14, boundary values is where the problem becomes difficult

[twanstegeman]

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[LeavingCertMaths]

Continuing, 17:55 Since lambda must be unique, it appears that we cannot "mix and match" values of lambda for solutions of the wave equation

[khaledqaraman]

The answer to the last question is: NO. Lambda is a constant and must be the same for both v and w. You can verify this by considering a counterexample - mixing two different values of lambda will not satisfy the wave equation in the first place.

[ahmadalwahab]

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[JonathanReyndersGreatBanter]

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[zahraaa]

tomorrow is my final. My true final. I will not be taking any course labeled as "math" ever again. I will take math related subjects, but nothing purely math.

our teacher for the worksheets (donno if that's a thing anywhere else) hinted to us that many questions on the final will be with the 1d wave equation, which is something many of us (if not all) can understand, because for some reason, we have no teachers who can explain a subject, and the ones who can, don't believe we ever need help because we have "great teachers". This whole year, I've been relying on youtube teachers for all of the lessons, and am finally able to understand a bit of math.

Thank you for this video. Although I am still a bit lost, but at least I can try getting my hands on it and seeing if I can do it with actual simple steps.

since it is my last math now, I would love to say, I hate math, and I hate that they had to give us the wave equation just at the very end of our course, which we (or at least I) know is always neglected.

I just hope to pass.