inverse laplace of s/(s^2+1)^2, using convolution theorem

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inverse laplace of s/(s^2+1)^2 using convolution theorem,
use convolution theorem to find inverse laplace transform,

blackpenredpen

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you explained two hours worth of lecture from my professor in 10 minutes. Amazing video

DrLol

Can we all just agree and appreciate his pen switch skills while writing besides of course his math skills.

ovrkill

We shouldn't put + C for many reasons
1°) it's a definite integral
2°) the inverse laplace transform always it's a one to one operator unique result
3°) we could think this problem like the L^-1[L{ -1/2(L {sin (t)} }'s ]= - t .f (t) then f=1/2 (sen (t)/t) ✔

federicopagano

i really like your way of explaining, a big salute from Morocco ☆

djalixos

i learn so much from your videos, not only do they help me with the subject you are teaching, but also with my math understanding in general, you are a great teacher.

password

cz its a definite integral we don't use c here
the best tutor I have ever seen....THANKS

chinmayabehera

It's definitely cooler than partial fractions-- but the coolest part is not having to do partial fractions. 😉 Thank you!

e.s.r

No +C because it is a definite integral.

johnkarlorcajada

GREAT TUTOR.Youve made understand this concepts better.Highly recommend.

jobalfred

I love these examples, so clear, so simple, so beautiful

sergiorome

In just a few minutes I have understood Convolution theorem of Laplace Transform well done sir👍

Guru_Joe_Praise

I was struggling with a question in my textbook and decided to watch solution to another question, find this video and realized that you solved the same exact question that I was struggling with! I'm so happy thank you!

nurten

Good . Also we can also use the fact that laplace of t f(t) = -d/ds ( F(s))
We can take f(t) = 1/2 sint

skwbusaidi

if i just saw this before my exam, i would have got a perfect nice bro...

bench

Excellent explanation
Without neglecting any small mathematical step...
Thanks

new-jjil

I will consider you in my research report you have helped me alot in terms of calculus at the University, thanks very much ❤❤❤❤

JeffNkwilimba

Never heard of Convolution theorem. But you explained so easily 🙏🙏❤️. Thanks #blackpenredpen

Btw no +C since it is a definite integral 😎

utkarshanayak

i dont think you know how many engineering students your saving

aleksgornik

You are so happy when you found sin(t) as constant in v world. It made me happy too.

parthokr

Well explained and also ur skill of switching pens is amazing, thank you for lecture😍

_co_ayeshashaikh

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