Laplace transform of a piecewise function, sect7.2#11

[@dhanashreeingale8272]

Thats just the most unique mic i have ever seen in my life

[@huehue5286]

Awesome, most videos on youtube don't explain a solid method to solve those functions and they never solve examples of this complexity. Good work my friend.

[@hrshpegu7560]

Loved your DI method it made my life so easy , thank you so much

[@guadalupeabigailhernandezs2092]

It's 12:48 am and i'm preparing my exam for today, thank u very much! A big hold from Mexico City

[@beno7969]

how did it go? I have mine in 11.5 hours!

[@guadalupeabigailhernandezs2092]

@@beno7969 Everything bad): but, i'm not sad. Good luck for you!

[@beno7969]

Lupita Hernandez just finished! went ok, forgot how to represent a sawtooth function with the fourier series though :( that was worth 20% of my exam mark

[@guadalupeabigailhernandezs2092]

@@beno7969 it sounds very good! Hope you got a 9 in your exam (in Mexico 9 = B, i think)

[@Zonnymaka]

That was an helluva of algebra :) I think it's much easier by using the unit step function u(t-a) (aka the Heaviside function). Since f(t) is defined like that, we must "flip" the Heaviside function and use (1-u(t-pi)). Hence, we are looking for: L{sin(t)*(1-u(t-pi))} = L{sin(t)}-L{sin(t)*u(t-pi)} = L{sin(t)}-e^(pi*s)*L{sin(t+pi)} = L{sin(t)}-e^(pi*s)*L{-sin(t)} = L{sin(t)}+e^(pi*s)*L{sin(t)} = L{sin(t)}*(e^(pi*s)+1) = (e^(pi*s)+1)/(1+s^2) That's it!

[@SamandRie]

ayee thats what i did, felt like a genius when I made sin(t+pi) to -sin(t)

[@faizanalam855]

@@SamandRie but why did it turn to -sint

[@BadThetan]

I love your integration by parts. I was taught the u du v Dv method.

[@najmulhisammudin8918]

Thank you! very helpful and i like the way you explained everything!

[@kkenny]

Have been watching so many of your vids and I swear you have had about 3-4 different hairstyles

[@onukwulichiamaka2873]

My teacher my teacher,Thank you so much.....

[@Dana__black]

Do you have a video on that DI method? I have never seen it before and it looks super helpful!

[@milkman5894]

kzbin.info/www/bejne/aHqQkIaMbciqqdk

[@olivioarmandocordeirojunio8280]

Thank you very much. Your DI method is wonderful.

[@JOHNCUDJOEKUMAKO]

If it was less than or equal to, what happens?

[@miracyan]

is the e power of -st part of the formula for the piecewise questions?

[@leakhoury1882]

I have a task where I have the Laplace transforms given and I have to find the original function... How can I do that? Any ideas?

[@blackpenredpen]

Check out my “inverse laplace transform ultimate study guide.

[@nazlicankaplankiran2871]

Hes teaching Grogu by holding his metal ball to make him listen

[@jhulioux]

So what is the book you used?

[@stevenoden817]

that shirt is fly af

[@blackpenredpen]

Steven Oden thanks!!!!

[@michaeldinardi3237]

bro i love you so much

[@maelenaomi3484]

Whats the name of the book you use to get these exercises?

[@CofeeAuLait]

Top notch stuff.

[@KamalSingh-qv1ld]

bro lots of love 😍😍😍🙏🙏🙏🙏🙏🙏🙏

[@oli32xx]

THE SUPREME

[@PalinDynamics]

What should we do when the intervals are not just, greater than or less than, but instead greater than or equal to, less than or equal to?

[@nhaminh5717]

What about heviside step function ?

[@lucasbarbeau954]

why is it sped up halfway through..

[@potato5150]

It would have taken an eternity explaining the calc 2 part, when it is primarily trying to explain a diff. eq. Laplace problem. It was pretty creative since you should know calc 2 by now lol

[@ryanhillard7821]

I really enjoyed the sped up part, it felt like an entertaining way to get past math we should be able to parse out if we are at the point where we would be watching this video.

[@tenton2000k]

Do you have any videos on laplace transformation of piecewise functions that include unit step functions.

[@sahithi5390]

U can check it on Khan's academy

[@alideljo8099]

thanks alot

[@JayLikesLasers]

What is the trick you do with the D I table and multiplying diagonals? It looks sort of like integration by parts.

[@blackpenredpen]

it is! check this out for detailed explanations kzbin.info/www/bejne/aHqQkIaMbciqqdk

[@jasmine2278]

@@blackpenredpen This changed everything for me. Thank you thank you thank you!!

[@قاسممحمد-ج3ت]

@@blackpenredpen ممكن توصل عن طريق الواتساب

[@tag_of_frank]

Oh snap, what is that integration by parts method called? I only know the long annoying way.

[@abdirizakmaalim7321]

it's called integration by parts table method, btw he has some video's on it

[@svmafnas]

Tabular method... lol if you still need it also heard tablature method but I doubt they were right

[@angeldanielortiz1735]

but the integral of a zero is a constant, why did you say its zero?

[@CofeeAuLait]

Because the constant can also be 0.

[@kodistamana6059]

We was not supposed to integrate the e^t and differentiate sin(t)???

[@KingRustee]

You would get the same answer

[@shreyanshpathak3546]

Do we always take integration and differentiation 3 times in the DI method

[@potato5150]

Not quite, it is simply however many times it takes to return to the original integral. In this case, with an e term and a trig term, yes it will take 3 times with the DI method. In a messier integration by parts problem, it could take more than 3.

[@Marcelelias11]

@@potato5150 or for the differential to reach 0

[@letahmhlongo8586]

can you please do Transforms of Piecewise Continuous Functions

[@faraday3833]

just use sinus sum formula for sin(t+pi)....

[@SamuelDuvor-k3w]

i think ur integration by parts took longer than usual😂

[@KingLionTearingBlast]

I love you

[@freakingik2781]

Sir, "cos(pi)=0.9985=1,Not -1" At 7:47

[@anthonydelatorre713]

supreme

[@blackpenredpen]

yup!

[@anil27284]

Thanks...sir

[@fortman4917]

Omg.. this is too complicated

[@andrewhoban9800]

integral of zero with respect to t is t I thought?

[@gabrielcoutinho4027]

nop

[@potato5150]

Integral of dt with respect to t is t, but integral of zero with respect to anything is a constant.

[@sheesshaikh8979]

Dear frnd, with due respect to your tiresome job on this problem, I think that this could be easily solved using, the property of "Lap.Transform of unit step function in just 4-5 easy steps..............Moreover using this property I found the result with the numerator being { 1- e^(-pi*s) }. .....please take note of it.

[@sheesshaikh8979]

Actually I got this idea from this video m.kzbin.info/www/bejne/q5vUq5ZmoqiHbg ......................... .U may not get it completely but try to understand........................... Also I have watched ur video on Shifted unit function.

[@KingRustee]

He has other videos using the unit step function, I believe he was avoiding it on purpose to show a different approach

[@akanmikedavid]

I had same answer not positive

[@akanmikedavid]

I had same answer not positive

[@قاسممحمد-ج3ت]

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