03 - Deriving the Essential Laplace Transforms, Part 2
View more lessons like this at www.MathTutorDVD.com. In this lesson we continue deriving the essential laplace transforms.
Жүктеу.....
Пікірлер: 125
@goldCrystalhaze5 жыл бұрын
So many years, crap teachers tried to make us hate math. Every science is built on small logical steps. If only i had a teacher like this, taking the time to explain those logical steps, then my life at the university would be much more cool...Thank you so much sir!
@davidmukwakwami4 жыл бұрын
Anyone here during this lock down?? He's a great teacher indeed
@brucemitchell79809 ай бұрын
Hey man. This is great! I did this stuff at uni nearly 45 years ago. I learnt it all from books and must have passed an exam in it, but it never really stuck. (To tell you the truth, I've never had to use it in my career, and I'm close to retirement now.) But, for the love of mathematics, I finally understand it, and that is all thanks to your detailed presentation. I cannot tell you how grateful I am.
@murtadhaalkenani3876
6 ай бұрын
"I've never had to use it in my career" is something both sweet and bad to hear, can you give us a bit of your knowledge of what things we should focus on and what not, as engineering students ?
@itzikovadia851
6 ай бұрын
I used it in electric engineering in electronic circuit transform function and control system to evaluate the stability
@rodericksibelius84722 жыл бұрын
This Electrical Engineer, who is also great teacher of mathematics who can explain the full details and reviews how those steps are derived are the ONES we need in this world of ENGINEERING.
@CorporateCat6 жыл бұрын
Your videos are the reason I'm gonna pass ODEs. Infinite likes!
@zahratunnisa74884 жыл бұрын
Thank you so much, Jason. this is very helpful for me. It's very difficult to find a teacher or lecturer who teaches mathematics clearly like you. Stay like this, I think you will be a new teacher in my life, especially in mathematics
@no5x9374 жыл бұрын
You are a great teacher. I wish I had you in college. You're worth your weight in gold... no, worth my weight in gold. 😁
@richards_greatman
11 ай бұрын
Funny!
@gregsimpson93914 жыл бұрын
What you have done here is really important. Derivations are very important for understanding and unfortunately there is a lot of maths today done by students by being given the formulae and just applying it. Thats ok provided they have at least once, derived that tool I have not done LTs for decades but your clear analysis is a doddle - so I've learnt it all again after an engineering career. Well done!!
@MathAndScience
4 жыл бұрын
I really appreciate it! Jason, MathAndScience.com
@aurummukhacwa8012 жыл бұрын
God bless you and your family sir. This has helped me a lot. I appreciate it
@othmanabdalamohamedadanabd19782 жыл бұрын
If today 's education is not more important than a university degree, then I have enough knowledge about your lessons and I can better understand my teacher at home, I respect you. From Somalia🇸🇴💕💕🇸🇴
@IBumpg Жыл бұрын
Though I agree that some lecturers did not spend the time to do the details, one of the culprits in this case is the requirement by the schools that certain topics have to be completed in a given time frame. This limits any discretion on the part of the teacher/lecturer.
@emmanuelagwu6730 Жыл бұрын
You are just incomparable sir! May. God bless you more with knowledge and wisdom
@lucdhomme3105 Жыл бұрын
Great explanation for this interesting item. Thank you, Jason!
@user-ug6kq7cq8s4 жыл бұрын
THIS GUY IS AMAZING
@joesyte3 жыл бұрын
I have been following and I am glad I did. Made more comprehensible.
@chongyixiang4 жыл бұрын
Thank you, you are a very good teacher. Really clear writing and steps
@freedominchristjesus2102 Жыл бұрын
Thank you so much Sir. This is the best video tutorial I've watched on Laplace Transform.
@neatmachine2 жыл бұрын
Wonderfully done!!! Thanks
@benjhanssen314 ай бұрын
An awesome teacher indeed. Thank you.
@qasimali-fl7vs22 күн бұрын
No one can explain like this in whole KZread
@nanditaroy44765 жыл бұрын
Thank you for your patient teaching and explaining....really helped to go back to basics and strengthen them!! I am able to get a hang of laplace all thanks to you!
@riofloridonelson39892 жыл бұрын
Your way of teaching is clear to me that why I inspire to full fill my goal God bless you...
@dinahk83865 жыл бұрын
I loved mathematics because of you thank you very much!!!
@sylvesterharding3 жыл бұрын
u literally are making my night sir, Thank you
@yahia31344 жыл бұрын
Your Videos are simply amazing .. Thank you
@thekopiteliverpoolforever20275 жыл бұрын
Best maths teacher ever I must say
@noblesimfukwe1532 жыл бұрын
Thank you so much for the information..your teaching skills are excellent.
@onueziwembotho13532 жыл бұрын
I CAN NEVER THANK YOU ENOUGH SIR
@surajshukla5357 Жыл бұрын
really loved it sir huge respect for your knowledge
@khaikazama4912 ай бұрын
surprisingly how simpler the Laplace transform of cosine and sine. thank you, Sir
@IBumpg Жыл бұрын
Excellent teaching indeed!
@richards_greatman11 ай бұрын
Thank you so so much, sir. I'm getting so much value.
@mainzasamuel1651 Жыл бұрын
Sir, We greatly appreciate your work 🙏😊.
@JP-xm3qf10 ай бұрын
You sir are a true saint!
@kabaghesunday38654 жыл бұрын
I almost have given up in class, thank you for this motivation
@williamwelmans864810 ай бұрын
An excellent teacher! ❤
@konehnorbert63003 жыл бұрын
thanks man i really appreciate your work
@bongekileximba88684 жыл бұрын
Thank you and bless you for this video. 🙌🏽👏🏼🙏,
@samy57292 жыл бұрын
i swear you are a legend, THANK YOU!
@terrencemadanhi88335 жыл бұрын
This is great sir.thank you
@gabrielchukwusa198 Жыл бұрын
Such an excellent teacher. You're so Amazing sir.
@Aya-rk4wy4 жыл бұрын
Thank you so much 😊 , you really helped me
@alqassem-a2 жыл бұрын
Perfect Dr. ...
@Darrel12023 ай бұрын
wow this is amazing...thank you for your time to make this video ....
@cynd89143 жыл бұрын
thank you sir, very much appreciated
@waheed78199 ай бұрын
Studying this for my control dynamics class because my teacher didn’t taught me this :’). Great video and amazingly explained
@Ronalharasati6 жыл бұрын
Not all heroes wear capes
@wenyuanwang20832 жыл бұрын
老师讲得太赞了!
@melchiadisawungjia18103 жыл бұрын
I love your lesson sir
@dilipchotalia4857 жыл бұрын
good lectures very helpful
@westonmulenga64215 жыл бұрын
nice work sir, thanks
@elamvaluthis72684 жыл бұрын
Thank you sir you made Laplace transform made easy.
@shex90023 ай бұрын
HOW ARE YOU SO GOOD! Thank you so much
@sumayaabdinorelmi1889 Жыл бұрын
Dear teacher, really, it's my first time to understand this topic thank you so much
@IvanKiprono-mn6eo
Жыл бұрын
it is perfect
@ceciliachipulu12203 жыл бұрын
Saved my semester
@rubyahiakpah77958 ай бұрын
Perfect 👍
@usamabinmahbub8 ай бұрын
Thank you sir for your suchn a wonderful way of explanation make easier to understand a problem.Take love from Bangladesh.
@trelosyiaellinikaАй бұрын
Of course this too is interesting to know, the classical derivation, from the roots, of L T of cosine and sine, but there is a much more elegant and straightforward way to derive both at the same time. Just treat the cos(βt) & sin(βt) as the real and imaginary parts of e^(iβt) and you will get 1/(1-iβ) and multiplying top and bottom with the complex conjugate you'll get (s+iβ)/(s^2 + β^2)
@rkleela69395 жыл бұрын
All videos are super
@rvdbYT3 жыл бұрын
very nice and calmly paced explanation. I think you can circumvent integration by parts by using $\cos \beta t = 1/2( e^{j\beta t} + e^{-j\beta t} )$. And one thing more: i think the condition should be Re(s)>0 (s>0 is not well defined for s complex)
@wwoww5205 жыл бұрын
Sir can we change the cos(βt) in exponential form then we can find the Laplace transform ∟(cosβt) easily.
@robertetoo5931 Жыл бұрын
Thank you so much. well understood😉
@prashantsane95164 жыл бұрын
Superb explaination
@michaelmistry71036 жыл бұрын
What a man.
@gabarayeeyo1495 жыл бұрын
Ur supper amazing 😍😍😍 thank you so much
@ahmaduwaisalqoraneebinahma20352 жыл бұрын
Sir for integration by part isnt u will be cosbtdt and dv will be e to power of - st ?
@javid44794 жыл бұрын
THANK YOU
@tecrahmutungulu18737 ай бұрын
i understand now this has made laplace easy.
@wellingtonlukemapiye3202 Жыл бұрын
I'm trying my level best to finish all his videos
@NikV0110 ай бұрын
for integration by parts formula, doesnt u= the trig function and dv= exponential. The order of substitution for u i learnt was liate where logs,inverse,algebraic, trig, exponential. since trig was higher on the list u would be trig right?
@augustinechiswanda5184 жыл бұрын
A star inded, thanks
@itzikovadia8516 ай бұрын
Thank u a lot it is great lesson and very intersting I used thad before 40 years a go 🤣 now I refresh my memorize for fan
@ViNncentSmith2 жыл бұрын
god bless you
@leonardmboloma52814 жыл бұрын
Very clear explanation thank you sir
@MathAndScience
4 жыл бұрын
You are very welcome!
@johnsalkeld10883 жыл бұрын
I would calculate Real part if the Laplace transform of e^(ibt)
@olawalecalculus89894 жыл бұрын
Gr8t tutorial so far
@Qwerty-ql3bs5 жыл бұрын
Sir why always Exponent in U instead of the trig? LIATE right?
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
@arnabbanerjee30105 ай бұрын
I'm not sure why you didn't use LIATE while doing the bi parts integral
@sluttyfuck196 жыл бұрын
bah, 14:50 paused the video because i didnt understand why second B wasnt squeard. checked my lacking math skills for 30 min. still didnt get it and went back to the video only to find it was squared after all. I suck..
@MathAndScience
6 жыл бұрын
I've done things like that before! Get our Free App and View all Lessons! www.MathTutorApp.com
@bluebloo5574
6 жыл бұрын
haha, that is a mistake that I usually made when doing calculation. So, I thought that was his mistake at that moment.
@parente1998
5 жыл бұрын
i just paused and came to the comments to see that ahah Thanks mate xD
@joebob2311productions
5 жыл бұрын
i read this comment before the video, then the same thing happened to me, then i was like oh
@ezramwenda74212 жыл бұрын
Applying LIATE when choosing u and dv exponential should be dv while trigonometry is u.
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
@raphaelvista4 жыл бұрын
If you open your control theory book they say: Applying the definition we can EASILY see that...
@tinytuny974 жыл бұрын
Sir i have got a question shouldn't you take cos=u in the beginning since it is a trigonometric function and has the priority compared to the number of e ?
@tinytuny97
4 жыл бұрын
@glyn hodges Thank you very much for the info
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
@ivymagoma2561
Жыл бұрын
@@abdulrahmanmohammad2811 no u wont i tried
@ivymagoma2561
Жыл бұрын
it gives u Beta at the numerator rather than S ...if im wrong plz tell me
@fahedaldhafyan94077 жыл бұрын
good work
@ivymagoma2561 Жыл бұрын
when integrating by parts why didnt you pick cos as u because of the formular liate?
@olayiwolaeniafe8133
8 ай бұрын
When dealing with cases like this, it's very much easier choosing your U to be an expression that can be differentiated easily
@darlene506 Жыл бұрын
I love you. That's all
@lindafloralmeida61143 жыл бұрын
Why is it that we can't let u=cos(bt) and dv= e^-st?
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
@BeautifulYou5014 жыл бұрын
My professor doesnt even lecture. Thank you for your videos!!
@ogochichimaloveth9014 Жыл бұрын
Am really enjoying ur class But don't know how to use cosh and solve a problem Someone should plz help me
@fruhope59533 жыл бұрын
What if I take my u=cosBt?
@ivandominicalegre2158
3 жыл бұрын
I agree, base on LIATE of Integration by parts.
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
@tshepotrustmatsimela40602 жыл бұрын
i love you
@sarkoali8356 Жыл бұрын
But for laplace cos(ax) we have very easy law to find integration
@rigobertocantuna17372 ай бұрын
it's more easy with u=cos(Bt)
@abhisheksaha02382 жыл бұрын
Puneet bhaiya
@imadahmad57007 жыл бұрын
I Dont understand , how this integration by parts is done , because the ILATE rule is violated.
@najir85
5 жыл бұрын
This is LIATE rule not ILATE
@jimaginarydialectic4682
5 жыл бұрын
The LIATE rule isn’t actually a rigorous requirement, just a method for prioritizing that might lead to a quicker solution.
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
@daku_boi2 ай бұрын
2024 and still the best
@ogochichimaloveth9014 Жыл бұрын
Plz not cos but cosh
@onuratalay85259 ай бұрын
All is wrong! Must be u = cos(Bt) and dv = e^(-st)dt
Пікірлер: 125
So many years, crap teachers tried to make us hate math. Every science is built on small logical steps. If only i had a teacher like this, taking the time to explain those logical steps, then my life at the university would be much more cool...Thank you so much sir!
Anyone here during this lock down?? He's a great teacher indeed
Hey man. This is great! I did this stuff at uni nearly 45 years ago. I learnt it all from books and must have passed an exam in it, but it never really stuck. (To tell you the truth, I've never had to use it in my career, and I'm close to retirement now.) But, for the love of mathematics, I finally understand it, and that is all thanks to your detailed presentation. I cannot tell you how grateful I am.
@murtadhaalkenani3876
6 ай бұрын
"I've never had to use it in my career" is something both sweet and bad to hear, can you give us a bit of your knowledge of what things we should focus on and what not, as engineering students ?
@itzikovadia851
6 ай бұрын
I used it in electric engineering in electronic circuit transform function and control system to evaluate the stability
This Electrical Engineer, who is also great teacher of mathematics who can explain the full details and reviews how those steps are derived are the ONES we need in this world of ENGINEERING.
Your videos are the reason I'm gonna pass ODEs. Infinite likes!
Thank you so much, Jason. this is very helpful for me. It's very difficult to find a teacher or lecturer who teaches mathematics clearly like you. Stay like this, I think you will be a new teacher in my life, especially in mathematics
You are a great teacher. I wish I had you in college. You're worth your weight in gold... no, worth my weight in gold. 😁
@richards_greatman
11 ай бұрын
Funny!
What you have done here is really important. Derivations are very important for understanding and unfortunately there is a lot of maths today done by students by being given the formulae and just applying it. Thats ok provided they have at least once, derived that tool I have not done LTs for decades but your clear analysis is a doddle - so I've learnt it all again after an engineering career. Well done!!
@MathAndScience
4 жыл бұрын
I really appreciate it! Jason, MathAndScience.com
God bless you and your family sir. This has helped me a lot. I appreciate it
If today 's education is not more important than a university degree, then I have enough knowledge about your lessons and I can better understand my teacher at home, I respect you. From Somalia🇸🇴💕💕🇸🇴
Though I agree that some lecturers did not spend the time to do the details, one of the culprits in this case is the requirement by the schools that certain topics have to be completed in a given time frame. This limits any discretion on the part of the teacher/lecturer.
You are just incomparable sir! May. God bless you more with knowledge and wisdom
Great explanation for this interesting item. Thank you, Jason!
THIS GUY IS AMAZING
I have been following and I am glad I did. Made more comprehensible.
Thank you, you are a very good teacher. Really clear writing and steps
Thank you so much Sir. This is the best video tutorial I've watched on Laplace Transform.
Wonderfully done!!! Thanks
An awesome teacher indeed. Thank you.
No one can explain like this in whole KZread
Thank you for your patient teaching and explaining....really helped to go back to basics and strengthen them!! I am able to get a hang of laplace all thanks to you!
Your way of teaching is clear to me that why I inspire to full fill my goal God bless you...
I loved mathematics because of you thank you very much!!!
u literally are making my night sir, Thank you
Your Videos are simply amazing .. Thank you
Best maths teacher ever I must say
Thank you so much for the information..your teaching skills are excellent.
I CAN NEVER THANK YOU ENOUGH SIR
really loved it sir huge respect for your knowledge
surprisingly how simpler the Laplace transform of cosine and sine. thank you, Sir
Excellent teaching indeed!
Thank you so so much, sir. I'm getting so much value.
Sir, We greatly appreciate your work 🙏😊.
You sir are a true saint!
I almost have given up in class, thank you for this motivation
An excellent teacher! ❤
thanks man i really appreciate your work
Thank you and bless you for this video. 🙌🏽👏🏼🙏,
i swear you are a legend, THANK YOU!
This is great sir.thank you
Such an excellent teacher. You're so Amazing sir.
Thank you so much 😊 , you really helped me
Perfect Dr. ...
wow this is amazing...thank you for your time to make this video ....
thank you sir, very much appreciated
Studying this for my control dynamics class because my teacher didn’t taught me this :’). Great video and amazingly explained
Not all heroes wear capes
老师讲得太赞了!
I love your lesson sir
good lectures very helpful
nice work sir, thanks
Thank you sir you made Laplace transform made easy.
HOW ARE YOU SO GOOD! Thank you so much
Dear teacher, really, it's my first time to understand this topic thank you so much
@IvanKiprono-mn6eo
Жыл бұрын
it is perfect
Saved my semester
Perfect 👍
Thank you sir for your suchn a wonderful way of explanation make easier to understand a problem.Take love from Bangladesh.
Of course this too is interesting to know, the classical derivation, from the roots, of L T of cosine and sine, but there is a much more elegant and straightforward way to derive both at the same time. Just treat the cos(βt) & sin(βt) as the real and imaginary parts of e^(iβt) and you will get 1/(1-iβ) and multiplying top and bottom with the complex conjugate you'll get (s+iβ)/(s^2 + β^2)
All videos are super
very nice and calmly paced explanation. I think you can circumvent integration by parts by using $\cos \beta t = 1/2( e^{j\beta t} + e^{-j\beta t} )$. And one thing more: i think the condition should be Re(s)>0 (s>0 is not well defined for s complex)
Sir can we change the cos(βt) in exponential form then we can find the Laplace transform ∟(cosβt) easily.
Thank you so much. well understood😉
Superb explaination
What a man.
Ur supper amazing 😍😍😍 thank you so much
Sir for integration by part isnt u will be cosbtdt and dv will be e to power of - st ?
THANK YOU
i understand now this has made laplace easy.
I'm trying my level best to finish all his videos
for integration by parts formula, doesnt u= the trig function and dv= exponential. The order of substitution for u i learnt was liate where logs,inverse,algebraic, trig, exponential. since trig was higher on the list u would be trig right?
A star inded, thanks
Thank u a lot it is great lesson and very intersting I used thad before 40 years a go 🤣 now I refresh my memorize for fan
god bless you
Very clear explanation thank you sir
@MathAndScience
4 жыл бұрын
You are very welcome!
I would calculate Real part if the Laplace transform of e^(ibt)
Gr8t tutorial so far
Sir why always Exponent in U instead of the trig? LIATE right?
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
I'm not sure why you didn't use LIATE while doing the bi parts integral
bah, 14:50 paused the video because i didnt understand why second B wasnt squeard. checked my lacking math skills for 30 min. still didnt get it and went back to the video only to find it was squared after all. I suck..
@MathAndScience
6 жыл бұрын
I've done things like that before! Get our Free App and View all Lessons! www.MathTutorApp.com
@bluebloo5574
6 жыл бұрын
haha, that is a mistake that I usually made when doing calculation. So, I thought that was his mistake at that moment.
@parente1998
5 жыл бұрын
i just paused and came to the comments to see that ahah Thanks mate xD
@joebob2311productions
5 жыл бұрын
i read this comment before the video, then the same thing happened to me, then i was like oh
Applying LIATE when choosing u and dv exponential should be dv while trigonometry is u.
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
If you open your control theory book they say: Applying the definition we can EASILY see that...
Sir i have got a question shouldn't you take cos=u in the beginning since it is a trigonometric function and has the priority compared to the number of e ?
@tinytuny97
4 жыл бұрын
@glyn hodges Thank you very much for the info
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
@ivymagoma2561
Жыл бұрын
@@abdulrahmanmohammad2811 no u wont i tried
@ivymagoma2561
Жыл бұрын
it gives u Beta at the numerator rather than S ...if im wrong plz tell me
good work
when integrating by parts why didnt you pick cos as u because of the formular liate?
@olayiwolaeniafe8133
8 ай бұрын
When dealing with cases like this, it's very much easier choosing your U to be an expression that can be differentiated easily
I love you. That's all
Why is it that we can't let u=cos(bt) and dv= e^-st?
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
My professor doesnt even lecture. Thank you for your videos!!
Am really enjoying ur class But don't know how to use cosh and solve a problem Someone should plz help me
What if I take my u=cosBt?
@ivandominicalegre2158
3 жыл бұрын
I agree, base on LIATE of Integration by parts.
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
i love you
But for laplace cos(ax) we have very easy law to find integration
it's more easy with u=cos(Bt)
Puneet bhaiya
I Dont understand , how this integration by parts is done , because the ILATE rule is violated.
@najir85
5 жыл бұрын
This is LIATE rule not ILATE
@jimaginarydialectic4682
5 жыл бұрын
The LIATE rule isn’t actually a rigorous requirement, just a method for prioritizing that might lead to a quicker solution.
@abdulrahmanmohammad2811
2 жыл бұрын
It really doesn’t matter if ur able to integrate any one of them. In both ways it will still work and u will get the same answer.
2024 and still the best
Plz not cos but cosh
All is wrong! Must be u = cos(Bt) and dv = e^(-st)dt
NAOLSS STUDY
Gr8t tutorial so far
Gr8t tutorial so far