Laplace Transforms: Partial Fractions (Imaginary Roots)

Organized by textbook: learncheme.com/
Shows how to solve equations in the Laplace domain that contain imaginary roots and convert them into the time domain. Made by faculty at Lafayette College and produced by the University of Colorado Boulder, Department of Chemical & Biological Engineering. Check out our Process Control playlist: • Process Control
Check out our website for interactive Process Control simulations: www.learncheme....

[@hekk_tech5975]

my ears were bombarded with amplified cosine and sine waves thanks to the position of this guys microphone!

[@YongWony]

Thank you for the video. May I suggest that you invest in a pop filter? You can also try talking to the side of the mic instead of directly at it.

[@MarcoPeretto]

Thanks man, fix the mic a bit and the video is perfect!

[@AJ-et3vf]

Awesome example! Well-done and well -explained!

[@and.iswamkhize]

Was a bit lost @7:20, but then I understood it eventually. Thank you for breaking things down. You’ve made it a lot more easier to grasp the concept of using partial fractions to solve Laplace Transforms❤

[@ck4391]

This is really helpful for my Vibrations and controls class, thanks.

[@irishsarol5428]

c K control analysis?

[@h.k3260]

And at 7.20. When he divides the numerator into two terms, how? Like how does he decide that, term A as 1 as a numerator, and term B has (s+2) as a numerator. This is exacly the same thing that profs. do! Whats the point of making an explanation, when the explanation is "there are a number of ways of doing xyz, i have chosen y" and then not explain what methods xyz are, and why method y is chosen or generally good or prefered in that situation. Somebody, @LearnChemE teach me teach'

[@thomashousley5508]

thank you for saving me from a 6-hour headache

[@Broughtvulture]

Thanks man, I really like the Partial Fracitons method compared to using imaginary values and converting to time domain. Lovely video.

[@binashbobby8891]

Can you go further how you came about the equation in 7:40?

[@0mon0zz]

www.symbolab.com/solver/roots-calculator/inverse%20laplace%20%5Cfrac%7B3s%5E%7B2%7D%2B5s%2B5%7D%7Bs%5Cleft(s%5E%7B2%7D%2B4s%2B5%5Cright)%7D

[@cameronharvey5376]

youre literally insane. craked out of your mind. GG's

[@zubaidahrusli6738]

Very helpful thanks! You guys who are complaining abt his mic. You guys shouldnt do that.. He is the one who give knowledge abt this and it is u guys who seek for his help (as u guys click his video).. You guys should matter the knowledge he wanted to share complaining abt his mic and so on. Its the value of the understanding that matters here not the mic or quality! Ppl nowadays ..

[@kensonmalupande2424]

Excellently explained

[@futu9017]

This is the most helpful video on this topic by far. Thank you.

[@adaeji3480]

Why is there an s+2 in the numerator of B (7:15)

[@Bernoulli-sz6xf]

How did you get the s+2 in the numerator at (7:15)?

[@christymatta]

did you find out? my exam is today

[@prasath_sastra]

Good video. Thank you!

[@caballero2245]

can be done with 3rd polynomial?

[@yarenkaya7872]

Fully informative practice
Thank you,sir

[@Lagos3sgte]

Amazingly helpful!

[@fredlyraphael9980]

You did a very good job on explanation and choice of problems. I learned from this video

[@TMan29]

wooooohoooooo, thanks buddy. Was searching a lot and trying hard, thanks a ton

[@zachd6537]

Thank you! you made this very plain and simple to understand :)

[@victormontano7254]

Woah lmao thank you so much, I was attempting to deal with the i's XD. Completely forgot about this.

[@zamp7927]

Thank you from Yonsei univ south korea.

[@syedmuhammadqasim1494]

Great explaination! Thanks a lot!

[@PeydaPete]

Great explanation! Thank you very much!

[@AndromedaIX]

Very good explanation, thank you 😊

[@huntertheisen9972]

What happens if the s is s^2 instead?

[@frenchfreys]

great video sir

[@afaqahmad4518]

Thanks for saving me sir ❤️

[@marcmonaco2137]

jeez dude move the mic away from your mouth

[@pierrefabela]

x,D

[@ralphanthonymallillin2712]

Hahahaha

[@TheNeonbuffalo]

Great video, helped me a lot!!

[@charmainec1408]

This was a great video! Thank you!

[@wintergu8952]

if we got a negative value for the outside value, what should we do?

[@artur.ribeiro.398]

What a lovely town !

[@AlloyedFrequencies]

If you want to learn from videos like this please stop criticizing the people who make the videos.

[@jakehollyman5686]

cheers for this one my slime

[@Keuds]

had to log in to like - thanks for the explanation!

[@AnirbanHazra122]

sir u are the great

[@mustafaattwan5635]

great explanation .... God Bless

[@aqilaebrahimi1930]

I like the way you solve it 😍

[@javonlcf]

could the omega also be equal to -1 too? what would happen then?

[@OwnAP4NDA]

Completing the square part wasn’t very clear at 6:04 you say take the half the s value, then the square root of that, and you say it’s 1 but the sqrt(4/2) is not 1

[@LearnChemE]

Thanks for your comment. What he is saying is that you take half of 4, which is 2, then square that, which is 4 and that is the constant term. The difference is from the original equation to what how you completed the square: 5 - 4 or 1. I hope that helps.

[@millianmobosi9497]

SAVED ME!

[@Cholochill_Jr]

Thanks a lot.

[@CURISION]

thanks man, saved my ASS !!!

[@hakimbaraki8723]

How did you get that omega is eqaul to one? I did not get that part. Thank you!

[@daisyzepeda6764]

but what if we only have a number on the top? lets say 4. We cant solve for our letters that way?

[@nochannelvideos]

late reply but maybe others can benefit; if you only had a number in the numerator then you don't have to do partial fractions. YAY ! lol.

[@mahmoudmosleh749]

that was amazing< 3thank you!

[@MostElectronics]

Thanks!

[@shahadmadani2124]

Thanks a lot👌👌😍😍

[@pabieclaudialimba8703]

You're the best thank you so much

[@PowerAlejandroLegion]

Thanks

[@MtekEngineer]

plzzzz get a pop filter

[@sahilvan1640]

Thank you !

[@lania4334]

Finally I find it😁

[@TheNeonbuffalo]

Idk why people are complaining about the mic, i hear you fine

[@heartunderblade336]

thankss

[@coltonstogner4363]

my ears feel violated

[@AvantGrade]

3:57

[@hemantkumar8679]

awesome

[@jayantabanik9759]

god job

[@sfdko3291]

watch at 2x speed lads

[@grindstm]

thank

[@h.k3260]

The explanation @2.32 ish was straight terrible, somebody, what does table expressions 17. and 18. have that the others dont.

[@ktown3733]

Good videos but geez man did you record this on a dollar store microphone? If you are going to spends dozens of hours making recordings to be watched by thousands of people, logic would dictate that you would invest in a quality audio recording setup.

[@gokaybayram9640]

please stop spit on my headphones dude. BTW thank you for explanation. :)

[@hawkeyeboi2135]

i love u bro

[@brockjacobs5704]

Bs + C because MATHS bro

[@mechmaster6264]

from 8

[@salemrostom9222]

you talk too much man ...
and move the mic ...
and by the way i couldnt understand you are everywhere ...

[@sameedansar3552]

❤

[@Yaasiin9600]

tes pas cob toi c'est normal vous avez la nasa

[@froffiek]

Unwatchable due to microphone

[@alikermani211]

tuutht thtith thti thu tho, Tunk tu tho

[@irclec]

great video but someone get this man a pop filter lol

[@bakedandsteaked]

I'm wasting thousands of dollars on garbage education through a terrible program at an awful school.

[@Joseph_Cirksey_Pursuits]

Great Example Terrible Sound

[@TTGTanner]

Good job but there were no imaginary roots. #clickbait

[@aaron3438]

if you don't use the completing the square on the denominator, the outcome of the denominator will be an imaginary roots. So it's not a a clickbaitm8

omg u have help me a lot thanes

[@adel6782]

Helped a lot! thank you

[@john-jc2fv]

thanks