they don't have time, they have to go thought lapse transformation in 45 min do you think they have time to sit down and show you how it is done on sin(at) lol
I like very much the way you organize your calculations in order not to make mistakes, like sign mistakes, and also writing things similar close together in order to keep eyes in the same region of the board. Great video thanks a lot
Nice video! One minor point: Re(s)>0, not s>0. s is a complex number so “greater than” doesn’t really make sense in this context. Question: Does s>0 affect our solution in any way once we go back to t space?
to simplify the expression. Because of cos(x) and sin(x) with x going to infinity do not have limits. as far as I remember, L transform transforms functions from 'xy' plane to 's' plane. So, we need s>0 which means that for negative 's' function does not exist or not identified. In simple words, assuming that the first part equals zero provides the solution.
Steve!! Can I do the DI method with definite integrals? I have been having problems with integration by parts in definite integrals :( Could you make a video for us please!! Love your work!
It's safer to take the indefinite integral first and then do the boundary difference. If you keep it definite, you have to keep track of the terms that aren't inside an integral and put the "evaluated from a to b" sign so you won't forget. In short, yes you can, as it doesn't change anything, but it's better not to
I know you havent been doing integrals lately, but can you (not in a video, just at all) find the integral of 1/((1-x^3)^1/2)? Apparently the only way is elliptical geometry or something!
If only it's been taught like that at the UNI... great tutorial!
: )
It's taught like that. But when it's taught, you still don't understand because it's new.
they don't have time, they have to go thought lapse transformation in 45 min do you think they have time to sit down and show you how it is done on sin(at) lol
I like very much the way you organize your calculations in order not to make mistakes, like sign mistakes, and also writing things similar close together in order to keep eyes in the same region of the board. Great video thanks a lot
Never seen the D I method before and it’s awesome
It's pretty basic.
in my country we call it tabulation method
Steve, you are the b*e^-st.
For this kind of integral, I use complex number instead of DI, then do the usual take limit stuff!
Great video, Highly recommended!!!!!!!!!! Thanks Professor.
Esteban Burguete thank you!
Thanks for nice presentation. Black pen Red pen Blue pen . DrRahul Rohtak Haryana India
FOR REAL THANK YOU SOO MUCHH
Life savior
You just saved my ass brother. May you break NASDAQ with Sprite stocks.
amazing and clear
Thank you, sir, thank you.
Nice video! One minor point: Re(s)>0, not s>0. s is a complex number so “greater than” doesn’t really make sense in this context.
Question: Does s>0 affect our solution in any way once we go back to t space?
Thanks
Thanks bro...
BESTTTTTT
I can't imagine trying to do this w/o the D-I method.
Sorry, i haven't understood why, at 13:23, we need that the first part goes to zero as N goes to infinity :)
to simplify the expression.
Because of cos(x) and sin(x) with x going to infinity do not have limits. as far as I remember, L transform transforms functions from 'xy' plane to 's' plane. So, we need s>0 which means that for negative 's' function does not exist or not identified. In simple words, assuming that the first part equals zero provides the solution.
Because exp(-sN) goes to 0 as N goes to infinity IF s is positive.
And exp is "stronger" than any other classic function.
Steve!! Can I do the DI method with definite integrals? I have been having problems with integration by parts in definite integrals :( Could you make a video for us please!! Love your work!
It's safer to take the indefinite integral first and then do the boundary difference. If you keep it definite, you have to keep track of the terms that aren't inside an integral and put the "evaluated from a to b" sign so you won't forget. In short, yes you can, as it doesn't change anything, but it's better not to
Savior.
Nice video. When can I use this method?
Wouldn't it be more correct to say b isn't 0 and S is greater or equal to 0?
Hello sir I love math too much should I continuously do it or find a job??
I know you havent been doing integrals lately, but can you (not in a video, just at all) find the integral of
1/((1-x^3)^1/2)? Apparently the only way is elliptical geometry or something!
smooooth.
Where is Laplace cosbt?? ㅜㅜ
🐐
Hi! What book you're using? And nice to know you're handling DE classes too :)
This one
www.amazon.com/Fundamentals-Differential-Equations-Featured-Titles/dp/0321747739
Greattt
Seems like too many moving parts, therefore, much of opportunity for error. Albeit you moved right along, you took no such opportunity.
Is there any reason we can't skip the improper integral at the beginning, and just start with the limit as N goes to infinity?
Well, the improper integral is the definition of Laplace transform...
I thought look-up tables are the only way to find L{sin(bt)} 🥵🥵🥵
Bruh i did the addition on the integral wrong and couldnt understand why.
I ended up using complex sin. A bit easier integral haha