you're a massive legend! i'm a 2nd year mech/elec engingeer at edinburgh uni and this was perfect for a question on my assignment

criminally underrated resource, i was following along while having an example from my university and everything just clicked. I cannot cram math i need to understand what i am doing to commit it to memory, while following along it all just clicked in place lol

Thank you. Much clearer than lecturer and the text book

Just watched your video and it was very helpful, thank you Dr. Tisdell for taking the time to do these videos - Branden, student at San Jose State University

This was exactly what I needed! Been working through Stroud's 'Advanced Engineeering Mathematics' and the 'theorem 2' in the Laplace section just stated that -F'(s) = L{tf(t)} with no explanation. This made it all clear, thanks!

Thank you Branden and good luck with your studies!

Thank you. You save my university life.

sir shouldn't the final answer have a positive sign ie 2s/(s^2+1)^2 the derivation gives a negative sign doesn't it plz could u clarify that...thankyou

You just saved me thank you SO much!!

Hi - did you resolve your question?

Hi Dleerium - do you mean the lighting/resolution of the video or the presentation itself? I tend to post-produce each video a little differently just to see what the end result is. You are watching my vids in HD, right?

Great explanation!

Hi :) Just a quick question; when u differentiate the right hand side w.r.t. 't', why is it that you only differentiate e^-st and not f(t)?

i am from india....ur explanation is great

Exactly what i needed, gamechanging

Thank you from Brazil,

good stuff Dr. Chris!

Hey, I'm in Alg II/Trig and I'm doing a project on him. Of course, I'm going to watch this video so i can try to explain it to the class. Is there anything else Laplace had for math?

@nikhilsamy There is no mistake - can you see why?

@DrChrisTisdell yeah...its my mistake...am so glad to get ur response...i just look through it...thats why i thought it may be a mistake...thanks a lot 4 ur support...hope be more friends in science..thank you Chris :-)

What would happen in the case of the Laplace transform of -tf(t)

Thank you!

I see! Well, I used a brand new 'big nib' pen for this vid, so maybe that's the reason the writing on the board is clearer - more ink!!

You sir are a boss

My pleasure.

Thank you sir!

the end example u have written contain (s^2 + 1)^2. in the denominator..is it spelling mistake? i like the way of presentation...very much thankful for your sharing,,

Thank you from Brazil - Federal University of Rio de Janeiro

Hi briguy the proof of Leibniz rule involves the fundamental theorem of calculus and the chain rule. Hope this gives you an idea of why it is true. Best Chris

can you explain why the total derivative turns into a partial derivative going inside the integral?

@stephenbeck7222

7 жыл бұрын

The simple answer is that the entire integral is a function of S only (as explained at the beginning) but when you move the derivative inside, the inside function has two variables, so you have to change it to a partial derivative to note that "t" is treated as a constant.

@abcdef2069

7 жыл бұрын

it is too difficult to show math symbols in this youtube editor. what are the conditions or examples that a total derivative must be considered, and a partial derivative makes a wrong answer? the one of the examples is a convectional derivative. or some kind of parametrization and etc ... or all variables must be dependant or.... something

thank you sir

@Veraila I'm differentiating with respect to $s$, rather than $t$. Hence, $f(t)$ does not play a role here. Best wishes.

thanks dr christisdell

Hi,can somebody help me out on this question, Find the Laplace transform of -tcot2t? will be glad if i get it done before Thursday. Thank you:)

thank you

@DrChrisTisdell oh ok, just got a little confused there. I understand it now :) Thanks!

Thank you :D

With relation to the Laplace transform, one might say that the Fourier transform "swings" both ways!

awesome!!!

THank you >>>

doctor please need tan2t

Limitless

sir please tamil la sollunga

THERE IS NO NEGATIVE IN THAT ANSWER FROM THE EXAMPLE @ THE END BUT OTHERWISE ITS OK

@zhengliangbong226

7 жыл бұрын

Maybe he just showed what F'(s) is but did not bring into L(tf(t))=-F'(s)

thank you so that please speak french