Відео

I'm lovinggg theseee!!!

Wow

find so difficult to understand how you get c(x) and the integration of each colorful terms

What is the plotting software? Thanks!

so Duhamel's principle consists in translating the original problem into a situation in which the external force begins to act at the beginning of the passage of time?

thanks a lot🎉

This is so interesting video, that helps me to do my assignment

thank you sir

These are really great thanks

Your video is very clearly explained ! I've understood the main principe of FT for PDE'S thank you so much !

Very nice visualization with excellent explanations! Thank you.

Very well done! Thank you!

The best course

Huge Thanks for such an amazing and insightful explanation. 100/100

Awesome 👍

Awesome video! Thank you!

Seen several videos on pde equations. This one is supurb!

great expalin

why do these things never give a simple flow chart of how to do I can't remember any of what you just showed and subsequently dotn remember any of tit waste of my 14 mins trying to watch it you showing of some differentiation. not useful for me in my engineering need of the regression for some stats. and specifically how do if ind b2? what more do I need to do ?

At 7:34, I would recommend using the root method and the method of underdetermined coefficients instead. This lets you avoid doing all the annoying integration by parts.

Thank you :)

Nice job. Clear, to the point and well supported with appropriate illustrations.

Very good example

THIS IS WRONG!!! You can't subtract G'(x) and F'(x) and their counterparts because they are both differentiated w.r.t different variables and this changes the coordinates which in turn result in the equation becoming variant instead of a homogeneous constant eqn.

It all makes sense now!!

you did the job my professor didn't, thank you

thanks! :) absolutely clear as always

you're the best, thank you! :)

You are amazing! Keep going!

Thank you sir ....

Thank you sir....

thank you so much!!

Thank you so much for this sir! Subbed!

How about the 2nd-order ones? I know that at least the wave equation can be solved with characteristics.

i cannot solve the question. can u help me please? Given the linear equation: Ux-Uy=0 with the initial conditions: x(0,s)=0, y(0,s)=s, u(0,s)=g(s) where g(s) is an arbitrary differentiable function. a) Write the Characterist equations: a(x,y,u)Ux+b(x,y,u)Uy=c(x,y,u) dx = a(x,y,u) (1) dy = b(x,y,u) (2) du = c(x,y,u) (3) dt dt dt b) Integrate equations (1-2), use the initial conditions and determine x and y interms of the parameters t and s, then inverting these, write t and s interms of x and y. c) Integrate equations (3), use the initial conditions and determine u interms of t and s and then write u interms of x and y:u(x,y)

Extremely helpful...Thank u sir....U r a brilliant teacher 🙏

Well done!But how to visualize it?

How come this contradicts special relativity , with these coordinate transformations the wave equation doesn’t remain invariant

very clear and nice explanation. Thank you for sharing.

thank you

This is the first PDE video I saw that uses visual representation of the curves and planes. Great work!

I've got a test in 10 hours and I'm gonna pass it because of you

Excellent video! My textbook didn't explain this derivation as clearly. In the video, we set out to find the critical points that would allow us to then find local min, local max, and saddle points. How do we intuitively know that the simultaneous equations that we've found and solved lead to a minimum? Is it because we logically know that there is no maximum for SSE, i.e. the squared sum of residuals has no bound, so the solution we found must be a minimum? Therefore, there's no need to test the critical points? How do we rule out a saddle point?

excellent

PLEASE TURN ON THE SUB, I NOT GOOD IN ENGLISH !

Thank you man! Hope you will continue with these videos and grow your channel

For anyone confused, the last result on the page at 11:11 should read -1/5 outside the brackets rather than 1/5.

excelent work, short and complete

Thanks for the video! You really save my ass