Method of characteristics and PDE

[raultrigo]

Thanks a lot, as engineers in the industry we forget a lot of the mathematics underlying the solution of these PDEs, and we find a lot in the industry...this is a real push for science application...thank you

[ilxbox]

This video was very useful. I was having trouble with a quasilinear PDE problem in my textbook, so I watched all of your videos covering the method of characteristics and quasilinear PDEs. The amazing thing is, the problem you did in this video is EXACTLY the same equation I was having trouble with! The Cauchy data was different but the equation itself was the same. So thank you very much for this video, now I should be able to solve more problems like this. And if I have trouble with other types of problems in the future I'll definitely watch your videos on those as well.

[ankitgupta]

Thanks Chris for making my life easier. Your videos are really helpful. Really appreciate your efforts.

[jameyatesmauriat]

Simple and beautiful explanation, I wish that all the videos like this so that even if I don't know how the equations come from, then at least I can memorize some small details

Thank for the lessons Chris! Much appreciated!!

[tomlynd]

Your lectures are great but I am wondering how can I come up with factors that would simplify my problem. I mean is there a deterministic approach to this problem or I will have to go with heuristics?

[yunsongliu]

im just getting confused about why C(1) is determined by C(2)? can we use the funtion of C(2) equals to some function of C(1)?

[loveislam]

Thank you, I pray that God gives you all the best

[kkc]

thank you very much, but i have one question.. shouldn't the 4th line ( when finding C1) be negative 1/u because we took it to the other side?

[DrChrisTisdell]

Hi - see if you can prove the identity that I work from in the top right hand corner of the screen at 04:12. Once you have that then you'll feel more comfortable with the method that I use.

[ayeshasirkazi]

Can u give how to solve Lagrange's DE....and it's geometric interpretation....and what if denominator is zero in any of the ratio u r taking for finding the characteristics sir it's urgent

[ciudadesoscuras]

how x(dx/dt) turns into 1/2 d/dt(x^2)?