Factoring Method

In this video, I use the factoring method to solve a wave-like PDE. It's the same method that's been used to solve the wave equation, but I want to show you that this method is so powerful that you can solve other PDEs with it as well! Enjoy!
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[@sevenhundred77_]

Dr peyam I love your videos please make a series on optimisation

[@Unidentifying]

this is really cool, honestly did have to pause it a few times to follow along, but thats why youtube is so fantastic

[@Rundas69420]

When you can solve PDE's but 19/2 = 6 you know for sure that you are a whole blood mathematician. xD

[@paulkohl9267]

6:32, partial derivative with respect to t of G(x-t) = - G'(x-t), can you check? This would introduce a sign error that would propagate throughout the rest of your analysis and video...

[@ssdd9911]

6:50 u forgot the chen lu!

[@jackmaibach8316]

rectified at 12:00 :D

[@mattl-dlgx3994]

Rajat Vishwakarma it is the veritable name of the chain rule

[@dougr.2398]

Matt L-Dlgx thé “véritable name”?!? The VENERABLE name!!! :-D. Veritably!!!

[@alexandersanchez9138]

@Rajat Vishwakarma It's on his shirt.

[@Galileo2pi]

You're great pal

[@dm_saj1119]

Need more ,dr

[@robertmines5577]

Dr. Peyam, isn't this only relevant in the travelling wave case? What would happen with fixed boundaries like a vibrating string with boundary values with respect to t? This definitely feels like the D' Alembert solution.

[@moshadj]

Hey Dr. Peyam, can you go over the method of Characteristics or have you already done a video about this?

[@moshadj]

Especially for the inhomogeneous case and especially especially for the generalized form a(x,y)u_x + b(x,y)u_y + c(x,y)u = g(x,y)

[@drpeyam]

Already done

[@dm_saj1119]

Wow 😍

[@cameronspalding9792]

Can you solve Laplace equation on a parallelipiped

[@drpeyam]

I can do it on a box :)

[@RanjeetBhosale-od4pw]

Dr Peyam
Can u pls upload a video on origin of jacobien...
Derivation of formula...

[@drpeyam]

Already done

[@drpeyam]

The video is called The Jacobian

[@RanjeetBhosale-od4pw]

@@drpeyam thanku sir

[@samuelmarger9031]

Well, okay, I won't forget that stinkin' Chen Lu!