Laplace transform of cos t and polynomials | Laplace transform | Khan Academy

[@iLikeToitools]

As many other have said, you are a real life saver! My Diff. Equations professor has been doing a very poor job of teaching us this material. After watching your videos, I feel like I know the material well enough to at least make a passing grade on the exam that will cover this.

[@aisswaryavasu7453]

I can't even explain the triumph i felt at 3:02 when the Laplace for cos at just fell into place. Thank you for this super educational video!!

[@yuktikumari6042]

After understanding concepts from a youtube channel like this I feel that there are good people too in my world.

[@yuktikumari6042]

@Desmond Arlo Why are u saying this here ? Coz it's out of context 🙄

[@howtonanaba]

I can't find your next video... Oh by the way, very well explained ^^ I watched all 6 videos non-stop and now I feel I am ready to challenge harder transforms and bring em back to time space =)

[@notsoclearsky]

It has been 12 years. How did it go?

[@howtonanaba]

@@notsoclearsky i'm a software engineer

[@notsoclearsky]

@@howtonanaba oh nice! Glad to know

[@howtonanaba]

@@notsoclearsky Thanks!

[@ludwigmilkman7789]

This both inspired me and made me depressed.

[@TheDubaiuser]

Excellent..very easy way to learn and getting confident... :)

[@SilenThps]

the L you drew in 3:40 looked perfect. dunno why I'm pointing this out, it just stuck out to me >.>

[@byrnejobie]

thank you sir, you're a real life saver

[@neilrayno5437]

yes with the help of this man, everything will become a piece of cake :) dont worry

[@schapadap]

thanks for this, you are a much more clear teacher than my professor

[@verdaylkloss4844]

Oh man! I thought Sal Khan is overrated... But after watching his videos, now, I am hooked to all his videos and I think I now have my math Idol... 🤩🌾👍🌿 Definitely, not Numberphile dudes anymore

[@Mad-Slick]

It was amazing how that worked out in the end.

[@mitchyd89]

Thats funny. I was thinking it was fun before you said it. lol This helps me soooo much. I try to solve the problems by pausing it. I'm not taking Differential Equations until the fall ! Should be a breeze now.

[@DillonRedding]

Thanks Sal. This was very helpful.

[@RobertMOdell]

I can see how Laplace would have realized that e^-st would bound most functions with unity at 0 and 0 at infinity. However, I don't see intuitively how he realized that there would be no loss of information from the original functions to their transforms. How did he know an anti-transform would be available across such a large class of functions?

[@kendytan15]

thank you very much!! really appreciate it!!

[@Mohammad-gx4nt]

better than a semester of lectures

[@Itsbestbro]

AMAZING THANKS SO MUCH!!

[@BelievinSP]

This is golden! Thanks mate!

[@pakshiahao9605]

these are the only videos in which i actually bother to click the "like" button

[@DrKhan-hd4cd]

WHy -0 or negative 0 when it's positive

[@vivekjk6729]

Mistake, he could have explained a little detail but it's ok

[@Eddytorial]

I watchd the all videos to this one in the playlist that titled 'differential equations'. I am blind rn and my ears kinda bleeding but it's wort it! it would be awesome if you could upload this stuff in a higher quality though.

[@R-IB]

thanks a lot one of the best channel on youtube for math

[@abcdefg23328]

i salute you great man... very big help....

[@carlo1112]

5:40 is a (-) or a (+). In case of a (-), why is that, you are replacing in that ecuation.. and you wrote (+). Then you took it like a (-).

[@asam1584]

thank you very

[@v2krules]

Excellent, awesome, amazing, fantastic, incredible, BEST

[@sugarcane_is_rad]

FINALLY got it ......thanks

[@juanchov182]

Thanks

[@BZman7]

I thought so too. I guess it doesn't really effect the problem that he did.

[@l1mmg0t]

I always say mathematics is like magic, all you need to find out is its process behind the show. that why I like math.

[@mohammedal-gailani1947]

thank you soooooooooo much, very helpful

[@redtop91]

@glykoulis I was noticing that same thing. Thanks for the confirmation and again excellent videos!

[@zaidzaz4320]

Question: why didn't you use the linearity of the transform to get the laplace transform of sine with relatively less pain by using e^iat?

[@Osiyor]

1 person is a failure at Laplace Transforms... sad... Awesome video bredda...

[@pinkunath7475]

thank you

[@sergetheamazing]

dude.... awesome :)

[@Jeidor]

"my L's are getting funky" hahah you make learning fun!

[@Kipkod555]

-.-' I am in Algebra 1 right now, and this stuff looks insane, im scared to take this

[@utkarshaggarwal1631]

how about now(9 years later)?

[@tamkeenrazvi7329]

amazing!!!!

[@AlexanderZapataIndividual]

In 5:42 I think he ment "PLUS f(0)"

[@CoenArrow]

@Kipkod555 don't worry. it's easier than it looks. :)

[@HajiAkhundov]

Great! =)

[@bonbonpony]

So the Laplace transform converts a function of `t` into an expression with constants? (What is `s` in these expressions, BTW?) So basically, it established a MAP between functions and numbers?

[@suigetsuhozuki1]

No, s is just another variable. So, basically, Laplace transform converts a function of 't' to some new function which depends of 's'. In physics and engineering t represents time, and s represents frequency. Hope this helps.

[@Novak2611]

Normally he should write L(f(t))(s). But he writes L(f(t)) to simplify writing

[@BentCore25]

I just started to wonder, if you were given to show that this is true for all n (>0), how would you do that? :)

[@asam1584]

there a General question of ^n , you can apply to it ,i knew its late 😂

[@BentCore25]

@@asam1584 thanks haha! Wow, 8 years ago xD

[@musaunlu3363]

could you add turkish subttitles to this video please

[@Elzelgator]

I dont know why, but every time I heard your name, I remember the Genghis khan...

[@realnameverified416]

windows xp green theme

[@Buildings1772]

Is s just a variable here?

[@asd-tz8vh]

s is a complex number frequency parameter. I do believe it is called constant in this situation

[@Buildings1772]

@@asd-tz8vh I dont understand what a complex frequency could be.

[@asd-tz8vh]

@@Buildings1772 he said we need to learn fourier series and fourier transforms: "It builds up the intuation of what frequency domain is all about"

[@nipunasudha]

Windows XP! 3:35 Classic

[@Lifey93_ALP]

how f(t)=cos(at),and f''(t)=(1/a)sin(at) ..can u please explain it ..any one

[@jakerust1565]

so you just had them mixed up. He says f'(t)=cos(at), and then f(t)=(1/a)sin(at). he took the antiderivative, not the derivative.

[@beneeravishta6224]

how do you get y(0)=2 and y'(0)=3

[@maracachucho8701]

Oh shit you use paint! Nice.

[@vivanmoirangthem-3650]

Dang... The further we go through Laplace transform series, the number of viewers get lesser and lesser.

[@Cypeq]

it's done in MS Paint ? lol

[@07_ce_rahulmajhi98]

P

[@jendlti]

Hey that's cheating! LoL

[@jayendrachinnu168]

bro write clearly u are mixing all the lines we are unable to understand

[@asif7240]

Thanks