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

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

angelinstephen

thank you so much sir, i understand it really well

angellolasanguegacer

Please do the fourier transform and fourier series!!

dyer

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!*

sansamman

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.

mackenziekelly

does the laplace have a natural inverse?

MrRyanroberson

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)

hattrick

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

HoaNguyen-noob

wow really nice channel. subbed directly

brambeer

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

tszhanglau

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