Laplace transform of t^2, (t-4)^2u(t-4), t^2u(t-4)

[@besttoro]

Thank you! I've been trying to make sense out of unit step fn + Laplace transform for the past multiple days & you finally got through to my rusty brain (-人-)

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You were the only guy solving some of the integrals I had problem with in my first semester. Now you are the only one saving me on those heaviside fuckers. Thanks man, you're the best!

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It helped me to understand indeed what it is!!!! Thanks for the explanation...wow im watching it afta 6yrs hehe

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caraca me salvo..., umas 3 horas tentando entender ate achar o vídeo '-' obrigado.

[@AronTesfay-g8k]

Thank you sir! I needed this to study for my differential equations final

[@bongekileximba8868]

Thank you so so so much. This made it so easy for me to tackle other questions.

[@jarikosonen4079]

This works, because they do not consider t

[@dikshakushwahae7030]

So good... Explained very well

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[@eren6152]

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[@Daizelitha]

thank you so much!!! very nice explanaition!

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i love you! you are saving my grade

[@FM-uo4rv]

Thank you and greetings Texas.

[@251_zahirulislam5]

it is much helping me tnx for the video

[@TheGaspeer]

muy bien explicado amigo, muchas gracias

[@kanemajamesshikomena6284]

Thank you so much. You made my basic understanding very clear. thank you.

[@Rconrchea]

Excellent explaination, thanks!

[@fazlyrabby2360]

So good example. thank you dear.....

[@blackpenredpen]

you're welcome

[@POINDEXTER-TV]

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[@nomvuseleloh]

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[@makeeasy7829]

nice explaination bro but can u solve one qustion e^-2(u(t)-u(t-5))

[@aishah_wan6945]

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[@nuratiqahghazali5285]

Broooo

[@aishah_wan6945]

@@nuratiqahghazali5285 yeahh brooo

[@Alexys973]

What can I do if I have something like u(t+a), for example e^-tu(t+2) ?

[@goofypettiger]

Excellent!

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[@kushaldev8953]

Thank you really helpful

[@ravigupta-kb7qw]

Nice bro thanks

[@jasonh2150]

So is it just a given rule that you put in t and the power for the 2nd case and t +/- a for the 3rd case?

[@randolphcarter8283]

me ayudo, gracias

[@deepred152]

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[@blackpenredpen]

不敢當 不敢當 : )

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[@blackpenredpen]

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[@vivekvasava9220]

thanks alot sir it really helped me to solve this type of equations.. now plz help me to solve Laplace transform of e^-2t(sin4t+t^2)..

[@FikuzCL]

u saved me, god bless u haha, cheers from Chile

[@rajivchatterjee6056]

Thanks Dude!

[@lawrencesaavedra758]

I passed my final thank you for asking!!

[@rj-nj3uk]

In last example I was trying to subtract 4 and then add 4 to isolate the term with (t-4). Should that work?

[@_DD_15]

Is there any way to plot the result in the complex plane? Since s is a complex number such as s= a+ib, if I want to plot somehow Y(s) = (1/s) ^3= ( 1/ (a+ib) ) ^ 3 I'd need 4 dimensions to plot my graph, right? Since Y = Y (a,b,i), but what if I consider only the module of Y (a,b). Can I get some kind of graph which could give me any graphical info of what happens when you move from t to s? I don't know if I am clear enough xD

[@sourabhmaini1641]

awsm

[@0869614876]

Thank you so much

[@raedjameel9899]

Single handedly passed my diff equations course because of this Legendary man

[@aliyahcastellon4826]

Great video but what happen if I got (t-3)u(t-2)??

[@nguyenthanhnam1498]

(t-2)u(t-2) - u(t-2)= e^(-2s)/s^2 - e^(-2s)/s

[@samchau3476]

@@nguyenthanhnam1498 I don't understand, for balancing things out why did u write -u(t-2) on the LHS? How did u know?

[@nguyenthanhnam1498]

@@samchau3476 (t-2)u(t-2)-u(t-2)=u(t-2)[(t-2)-1]=(t-3)u(t-2)

[@jhonalvaroh]

BUENA EXPLICACION :D

[@user-dz7ix5go9d]

if ther will be y=(t-2)u(t-3) ???

[@laodemuhamadfahril7222]

Good

[@user-dz7ix5go9d]

If there will be y=(t+1)u(t-1) ????

[@vianadnanferman9752]

Thx a lot

[@Diego-ss7sg]

Does anyone know what goes inside the Laplace when f(t)= u(t-5)(t-1)^2? There's a -1 next to the t, and since the shift is +5, would the shift really just be +4? Would it be L{(t+4)^2}? I appreciate anyone who helps! :)

[@misbakmuhiddeny.9076]

I think that would be e^(-5s) L{((t-5)+4)^2}, so it would be L{(t+4)^2}

[@anonymousanonymous9581]

YOU ARE GOD!

[@channelkoaystudent]

thank you

[@GurkaranMalhans]

saved my day

[@ankitmakwana3141]

sir my doubt laplace transform of (t-1)^2 where t>1 please help

[@AnthonyMoody]

why did it take my professor like over an hour to explain this ):. Sometimes I feel like i should just skip class and watch your vids

[@بيببيون193]

thank YOU so much

[@blackpenredpen]

my pleasure

[@BestRedius]

Love you

[@ahmedal-riyahee3094]

Hi Could you please solve the following 1)L{u(t^2-5t+6).u(t)} 2)L{u(t^3-t^2-5t+6).u(t-0.5).u(t)} I know it's creazy quizzes.. It will be nice if you can help me.. Thanks allot ☺️

[@fatimajasim9180]

Thank you

[@john-athancrow4169]

But it was a funny e! Why did you erase it?

[@vans6084]

i love you

[@shakiellaphillip173]

Can someone please explain how to expand [(t-3+3)^2 u(t-3)] ?

[@Alex-Proud-American]

Ty

[@Bmeow496]

i wish the exams was this simple :(

[@zerotwo7937]

Thanksss

[@MrYounis26]

How the hell did you get the answer (t^2 +8t + 16) from just (t+4)^2, please answer that confusing bit to me and direct me to another video further explaining that in detail, I always get lost in that bit.

[@0019jacky]

MrYounis26 do it by simply multiply (t+4)*(t+4), you will get t^2+4t+4t+16 which is exactly t^2 +8t+16, yet it's middle school math though...

[@0019jacky]

MrYounis26 it ain't rocket science!

[@MrYounis26]

張本源 Yeah i had a brain fart right there, thanks for clearing it up.

[@simonabodakpi3319]

Why is the 16 not -16, a little confused here😢

[@john-athancrow4169]

I thought t-4 in matching input, but…no.

[@rafaelricardozacariascasti6474]

did not understand the last one

[@hanaebenallal3217]

I don't understand how is t^2 = (1+4)^2

[@vivekvasava9220]

thanks alot sir it really helped me to solve this type of equations.. now plz help me to solve Laplace transform of e^-2t(sin4t+t^2)..

[@Alexys973]

What can I do if I have something like u(t+a), for example e^-tu(t+2) ?

[@harrisonn9792]

Thank You

[@shubhamgawade697]

thank you