Heaviside Function : Formula for a Piecewise Function , Part 2

[@saucydrums]

I just started a Signals & Systems class this semester so these videos came up just at the right time. Thanks so much for making these!

[@jamarbaines5158]

Same here

[@Naan_Oru_Kirukkan_Da]

Same Here!

[@kdothong]

I SPENT HOURS TRYING TO FIGURE THIS OUT!!! THANK YOU SO MUCH

[@datolar]

Thanks a lot! now i hope i finally get it. but why is there in the "0" part of the function: H(t-2) + H(t-3) ? shouldnt there be a mius like in the other function parts?

[@Mike-bt3ki]

Yes he is meant to write H(t-2) - H(t-3), but it doesn't matter because if it's right or wrong because it's multiplied by 0 and is ignored in the end.

[@alberttendo1092]

Yes it has to be a minus not a plus

[@EEAMD-co6nw]

thanks, i was wondering about this as well. Thanks Mike and Albert for clearing this.

[@TheKaterinification]

For the part (4-2t)[H(t-1) - H(t-2)], how would you continue if we were to take the inverse Laplace transform of that?

[@alivaezmousavi]

what happend with the y intercept how did you get 4?

[@inttake]

Amazing video amazing explanation. Thank you. My teacher didn't teach this at all

[@832aftab]

i can't thank you enough patrick! at last moment of my exam i found this video ! it was troubling me and eventually found it patrick at help!!!

[@pat3721]

did u pass the exam?

[@yosiefamanios6843]

Am I mistaken or should that be (-) instead of (+) at 4:55?

[@danielross5931]

was thinking the same. i think it should be. but what happens if its a plus sign?

[@xianlinsu1512]

i think you are right

[@aldane5501]

Im thinking maybe its because its a y=2 (flat) line

[@rutika17]

I also think that it should be - in place of +

[@SujoyShivde]

-

[@rockyboy5545]

wow! Explained brilliantly. Thank you!

[@flowdyofficial]

you explain better than my prof

[@BitanyaDemissie-fd5mt]

Thank you for this video. Do you have any book recommendations on Laplace theorem

[@patrickjmt]

sorry, not in particular. any decent differential equations textbook should do a good job though on the subject

[@Falazure]

Excellent explanation, Patrick. Ty!

[@RB3565]

oh, how I wish you were doing this while I was at the engineering collage.

[@Harmosaurus]

Well Well college? lol

[@RB3565]

Luke Harmon yes.

[@robertmayer8867]

youre the goat. the absolute goat

[@patrickjmt]

thank ya!

[@estebanlopez1701]

this man is really a great teacher!

[@thomasallan1196]

Thank you for the video. As a point of constructive criticism, constantly saying how straightforward this is, "that's all there is to it", "not too bad", and "no big deal" doesn't make this any easier to learn, it actually makes me feel pretty stupid.

[@quitest4850]

You made it so easy for me...Thank you so much!

[@SeraphisQ]

Great video, I'm currently doing these stuff at school right now! What a timing!

[@dakshinamoorthy9345]

what ? at school ?! where do you live ?

[@SeraphisQ]

​@@dakshinamoorthy9345 Check the other comments! We did this in the robotics/mechatronics/control systems/signals course. This is was the 3rd year of Mechanical Engineering Bachelor program at a Swedish university.

[@Buzmoo]

For line 2. How exactly do you know that the line intercept the Y axis at y=4? I grasp the idea, but whats the mathematical ''proof''?

[@patrickjmt]

+Buzmoo it's a line.

[@Buzmoo]

patrickJMT yeah sorry about that comment. I've slept like 2 hours cause of 1 exam and I couldn't even remember y=kx+m

[@faifai4]

take it easy man. :)

[@rutika17]

It really helped me a lot Thanks

[@johnmarcano952]

Thanks for explaining it nice and simply like that bro

[@kateelliott7158]

thank you so much! i was struggling so badly before i found this video

[@AnkitMishra-rm4qo]

Thank you so much... It really helped me a lot

[@patrickjmt]

Glad it helped!

[@Magarki]

Thank you! You explained it very well!

[@gradozero8140]

Hi is it possible to create a sample an hold function? As to say a function that takes the value of y and holds it for a given fixed x interval?

[@Jacob-t1j]

so that means the equal sign does not effect the result? no matter is smaller and equal or just smaller, they all have the same function?

[@seppneimusser5723]

You helped me so much, thank you so much^^

[@hibaabdulla4388]

I'm always late,,i should have watched your video during my sem exams,,now i'm preparing supplimentaries😵 But this time i'll definitely pass..

[@VikasRaj_Hyd]

How did you get the 4 ?????????

[@massaciviankiki3393]

Thanks for this video. It helped me a lot. I still don't get how you got the y-intercept. Could someone please explain?

[@ryanrussell1051]

slope equals rise over run. If we found that the slope of the line is -2 (or -2/1), you can visualize that as when time moves forward to the right (run) , the rise changes by -2, to each 1 step we move in the t direction. If we wanted to figure out what was behind us, we could simply just change the signs on the -2 and the 1. So now, for every step we go backwards in run (now -1), we must rise by positive 2. Additionally, you can always revert back to the equation of a line formula.

[@amulyadevalaraju357]

Can anyone explain how he had taken y=-2t+4 for the second line please as soon as possible I have an exam

[@Azkill]

Similarly to y=mx+c; +4 is the y intercept (+c) and the -2t is the graph (mx).

[@imanmomeni2990]

It's too late , still First find slope through the formual m=Y2-Y1/X2-X1 Then go for y-y1=m(x-x1) plug this value (2,0)

[@vishnukavali7265]

A very helpful video

[@THEWouter1212]

Thanks, good stuff

[@vasachisenjubean5944]

Love, from India !!! :)

[@electricterms]

Really thanks

[@brandonb385]

Dude you rock!!

[@KT-dv8qy]

Thank you !!!!

[@shrinishvhanbatte2915]

Thanks a lot , you are just a gawwwd

[@giwrgoscy294]

Thanks moooooooooooom!!!!!

[@canyuksek4224]

You are great

[@evank3718]

The most watched parts of this video looks like this function

[@VikasRaj_Hyd]

Please explain how you got 4 !!!!!

[@marieanderson573]

Y=mx+c When y=2,x=1 2=-2(1)+c Therefore c=2+2=4

[@TomShootsPhoto]

i love you

[@rakinkazi9780]

thanks

[@zain4019]

Rakin Kazi I KNOW THAT HILL :p

[@techaditya5210]

e^plus infinitive value

[@tawandachinhoyi8293]

You rock 😍😍..

[@629dlalswn]

1:35 doesn't make sense....

[@saadahmed8580]

thank u

[@patrickjmt]

+Saad Ahmed you are very welcome!

[@juliacb4339]

yoo saved my ass

[@moreblessinghakutangwi9430]

Like.

[@EinzigartigesLeben]

apparantly im too bored with highschool.... or why is everybody in the comments in university or smth ?!?

[@anthonypeters1797]

dissapionted that you didn't apply what each thing meant in terms of the real world

[@MrPabloguida]

It should be a minus sign at the minute 4:50 or no?