Laplace transform: cosh(at) and sinh(at)

Playlist: / watchv=5rcijylgyk4&lis...
German version: • Laplace Transformation...
Decompose functions: • Decomposing functions ...
Laplace e^at and e^-at: • Laplace transform: e^a...
Let us calculate the transformation of the hyperbolic sine and cosine! We are going to use a special trick to find the condition for it to converge, so I hope you will enjoy this video! :3
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[@ComputerEngineeringCPE]

Awesome!, straight to the point

[@angelinstephen8061]

Thank you very much. It's clear. Easy to understand 👍

[@sipaiarhan]

best explanation I ever seen in

[@easybeliever7]

Thanks for this. God bless.

[@syedaarim972]

Man you are so good! THANKS

[@richardduckworth8489]

Bravo my friend. Thank you!

[@angellolasanguegacer2754]

thank you so much sir, i understand it really well

[@benardmutai710]

the best presenter

[@PapaFlammy69]

[@lamondmwanza3194]

Thanks so much.... this is very clear

[@dyer308]

Please do the fourier transform and fourier series!!

[@sansamman4619]

isn't that the same as the Taylor Series

[@sansamman4619]

flammable maths ow wow, anyways they both approximate complicated curves...

[@dyer308]

materiasacra plus Fourier series are used all over quantum mechanics! The wave function can be represented as a superposition of all the eigen States, which in many problems is a Fourier series and you can also see the uncertainty relationship between position and momentum using fourier transform, If you have a delta function in one domain(high certainty of the particle being in that state), its fourier transform in the other domain is almost a sine like wave (very uncertain of which state the particle is in), I've been really wanting to learn all the properties of Fourier series and transforms! Hopefully flammable maths makes videos on it!!

[@federicopagano6590]

Please flammable math i know u have already explained thousands of times but could u do a "common integral" like i dont know perhaps sin(x) or 1/x using the lebiniz method introducing a t and derivating. Thanks

[@dako2117]

yessssssss please

[@mackenziekelly1148]

4:50 All you need to say is that Re(s) > a because that already satisfies both conditions. Re(s) > a & Re(s) > -a does imply that Re(s) > abs(a); however it is completely redundant and unnecessary as a is a real number greater than 0 therefore by definition a > -a and thus if Re(s) > a, then Re(s) > a > -a. Also a is already positive, therefore abs(a) is pointless. It would be as if I had the conditions that Re(s) > 3 & Re(s) > 5 and then I said that in order to make this work, we needed to write down that Re(s) > 4 + abs(1); it just doesn't make any sense. Perhaps you were thinking of the case in which Re(s) > a and Re(s) < -a in which case abs(Re(s)) > a.

[@muhammadzamin2001]

True as i was about to comment on the same mistake but found it already in the comments

[@CornishMiner]

Nicely done :)

[@cherrymiese]

thank you UwU

[@pujithayelamanchi4901]

Thanku very much

[@MrRyanroberson1]

does the laplace have a natural inverse?

[@sansamman4619]

can you make a video on
sin(at) and cos(at),please?
by the way *I'm totally new to laplace transform I just watched a lot of videos and jumped about 500 pages in my text book to understand, thanks for showing me these "advanced" math, this is fun and when I get to the 'real level' to learn I get a head start!*

[@sansamman4619]

flammable maths ;-; , why you do dis to us hyperbolic cosine before cosine ;0:

[@1972hattrick]

How do we know it makes sense, you add the two results together, factor the denominator cancel the like terms and you are left with the Laplace transform for e^(at)

[@exo_01]

1972hattrick It's, just as he said in the video, by the linearity of the Laplace transform, which he has a proof on in another video! :D

[@exo_01]

The Other-Things are just algebraic operations, which provide equal results and thus do not change it (just simplification).
The video i meant is to be found here:
th-cam.com/video/XzzmUPtboM8/w-d-xo.html

[@brambeer5591]

wow really nice channel. subbed directly

[@HoaNguyen-no5ob]

Very like your videos !! Could you make videos of solving example related to Special Functions ? Tks

[@nitishraj7274]

Great..

[@ahmadqayyumfikriahmadjazim1649]

niceee

[@PapaFlammy69]

:)

[@tszhanglau5747]

I wonder what would be the Laplace transform of papa flammy...

[@abd-elrahmanmohamed9839]

Nice :)

[@Chongz-l6d]

How can I solved L{cos(kt)}

[@Chongz-l6d]

The constant value of k can be represented by any value like eg.L {cos(at)}.

[@Chongz-l6d]

You have saved me from my assignment for tommorow.... Goodnight Teacher.

[@Chongz-l6d]

How to prove areal velocity is constant

[@BruceLee-x6g]

Watching on 3rd Aug 2024

[@cascadecruiser101]

2:23 ;)

[@studytime8728]

Please improve video quality...

[@kiranshehzadi725]

Anyone clear Laplace of sinh2t