The convolution and the laplace transform | Laplace transform | Khan Academy

Came in clutch

Thank you so much.....I just wish you were my teacher!!!!!

Man, THANK YOU!!

Thanks a lot...

Waffled a bit, but still a good video.

I was expecting the demostration

well explained,,,

If it can be done by partial function easily..why we need this..as it z lengthy????

so just separate and multiply

So, in the end, you got a flight control output signal that makes the drone oscillate up and down more and more violent over time until the drone disintegrates mid-air. That is what t.sin(t) means.

ขอบคุณครัล

Thanks Sal, this helped a lot

You can simply do L(sin t)=1/(1+s^2) and take the derivative of that. In one hand (1/(1+s^2))'= -2s/(1+s^2)^2. In the other hand L'(sin t)=-t sin t. So the inverse Laplace of 2s/(1+s^2)^2 equals to t sin t.

While evaluating the convolution integral why didnt you take the limits from minus infinity to plus infinity ??

Man laplace transforms are easy. You just have to capitalize the function. L[f] -> F Just press shift.

At this level the books are so confusing and dont explain anything. This is explained in a way how a human being can follow the procedure.
Good stuff.

thank you

"Let me just do this in yellow" commences to draw in pink


30 seconds later


"I couldn't resist switching colors" commences to draw in blue

This guy is a HERO, he should be nominated for president or give him a golden medal at least!

u are the man
i ent gonna lie

I don't know why, but those neon colors are making me happy. Maybe because they remind me of mdma pills.

Your videos are really good. you teach nice and slow to make a better understanding. Its really very helpful. I even recomended your videos to some of my friends who are facing difficulty in this subject. Thank you very mmuch

too much talk, many jumps. preferred more organized, repetitions is ok for complicated concepts not simple ones.

You bored me by repeating the same thing too many times

should've been a bit faster

I will pay from Rs. 50 - Rs. 68 per question .
Kindly let me know can anyone solve mathematics problem starting from 11th upto engineering , mostly questions will be from engineering mathematics like matrices, laplace, differential equations solution etc .

Computing an integral is one thing, but I find that Sal neglected to support the concept with a convincing proof or even intuition. The value of a problem is less in understanding how to solve it, and more in understanding why you can solve it. I hope to see some insight into the motivations for the convolution integral. No disrespect intended, thanks.

daldal mo!!

daldal mo!!

Pls do a vid on Fourier transform sal

this video makes me think why I am spending tons of money in collage when I get all I want from Internet for free. Thanks a lot sir you are true Savior of engineering students

How did people graduate before Khan Academy? infinite thanks

i feel so stupid when im study to these things while justin bieber or nicki minaj are making tons of money.

maths is fun when you understand......
thank u for this....

this integral can be solved just by applying sin (a)*cos(b)= sin(a+b)+sin(a-b)
so sin(t-taw)*cos(taw)=sin(t)+sin(t-2taw)
easy integral !!

thank a lot for videos

Which video does he evaluate the integral in?

you are truly amazng even your voice :D you make the table colorfull just for us. just to increase our mood while tryng to understand the lesson. thank you a million times.

Can you make a video demonstrating why the laplace transform converts the convolution into a simple multiplication in the s domain? I mean, via this video, you did verify the fact that it works correctly but it would be great if we could learn WHY it works or the mathematical proof behind it. Thanks.

I find your videos great for developing an intuition for the subject. However most times I have to watch your videos at 1.5x speed to save some time! I guess you can skip the very minor details and leave it upto the audience to figure it out and instead include some more valuable stuff in your videos. Cheers!

Great videos Sal, but I really think you underestimate your viewership too much. I think most of us were kind of bored throughout this video because you seem to think every minute detail needs attention. I commend you for making these videos, but perhaps make it somewhat more concise, or better yet, you could include more material in the same video? p.s. - I agree with the people asking for Fourier transform.

THanks this is a well taught and detailed lecture

Please do a video on Fourier Series and Fourier Transform!

brilliant

You could also just do (2s/(s^2+1)^2)=(-1)d/dx(1/(s^2+1), so the inverse Laplace is just tL^-1{1/(s^2+1)} which is tsin(t)

Life saver!! You explained this way better than my professor and made it interesting. Also subbed you.

You are great sir. TXs

fourier series pl0x originalcommentblox

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MATLAB code?... help please