Amazing explanation! I had one question, earlier during the video you said about the T' + λT = 0 being trivial but shortly after a while you found the cs for it. I didn't understand why you did that.
I don't think that's what she was saying was trivial, I think she was saying that if X(0)*T(t) = 0, and X(L)*T(t) = 0, the statement that T(t) = 0 would have been trivial. If T(t) equaled 0, that would mean that the temperature would have been 0 for all values of t (i.e. no heat transfer/temperature change at any point in time). She used that to prove that X(0) and X(L) (the temperature at the ends of the rod) must equal 0 at all times for those boundary conditions to be true, and to ensure that the solution would be non-trivial. Hope this helps
All of my exams are secure, so I cannot post them. Sorry! Here are some practice problems covering some of the concepts in chapters 11 & 12: drive.google.com/file/d/1t3hSo3-7IGJnA37FAyPrBsA5sr0YLYf0/view?usp=sharing Answer key: drive.google.com/file/d/1k_PQwqduccjeRuVa-ps0vG3EOyZGNiGa/view?usp=sharing
the question asked at 30:00 alpha is the thermal conductivity of the material, it depends on the material
Writing Fourier Analysis in 3 days and these videos are really helpful. Thanks Prof. Stellenbosch University
Same, only 2 years later
@ All the very best , Applied Mathematics
Very clear and great video. Thanks!
bless your soul
you are a gifted teacher :) thanks for uploading this !
Which software did the textbook use to generate the diagram?
God bless you ma'am❤❤❤
how do you know to use superposition at 15:50?
because she needs to find the combinations of all the solutions to find the general solution
Why did the video suddenly blur out?
Amazing explanation! I had one question, earlier during the video you said about the T' + λT = 0 being trivial but shortly after a while you found the cs for it. I didn't understand why you did that.
I don't think that's what she was saying was trivial, I think she was saying that if X(0)*T(t) = 0, and X(L)*T(t) = 0, the statement that T(t) = 0 would have been trivial. If T(t) equaled 0, that would mean that the temperature would have been 0 for all values of t (i.e. no heat transfer/temperature change at any point in time). She used that to prove that X(0) and X(L) (the temperature at the ends of the rod) must equal 0 at all times for those boundary conditions to be true, and to ensure that the solution would be non-trivial. Hope this helps
Could you possibly post a previous exam that covers chapters 8, 11, and 12 material? Anything would be great practice
All of my exams are secure, so I cannot post them. Sorry!
Here are some practice problems covering some of the concepts in chapters 11 & 12: drive.google.com/file/d/1t3hSo3-7IGJnA37FAyPrBsA5sr0YLYf0/view?usp=sharing
Answer key: drive.google.com/file/d/1k_PQwqduccjeRuVa-ps0vG3EOyZGNiGa/view?usp=sharing
@@alexandraniedden5337 Thank you!
Thank you
Thank u so much
which uni she teaches???
Students future is done
What Textbook are you using?
I use Stewart's 8th edition Multivariable Calculus book.
YOU'RE AMAZING!!!!!
thank you
Thank u
Can you share the book in PDF.. Which you are following plzzz....
I do not have a PDF of the book. Sorry!
Kindly tell me about the name of book and edition..??
@@ubaidilyas8203 My course follow's Zill's Differential Equations with Boundary-Value Problems (9th edition).
Thanks u so much..
اكو عرب هنا