Initial Value Problems with Laplace Transforms (KristaKingMath)

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Krista King

Krista King

Күн бұрын

Пікірлер: 101
@celestereyes4834
@celestereyes4834 4 жыл бұрын
You have literally singlehandedly helped me get through a semester of both Calc III & DE. Your way of teaching is such a perfect match for my way of learning & I appreciate these videos so much!
@kristakingmath
@kristakingmath 11 жыл бұрын
Thanks for the comment! I'm so glad I can help. :)
@yibrahgebru
@yibrahgebru 6 жыл бұрын
flawless step by step. This is the best videos I have ever watched in the Laplace Transform topics.
@kristakingmath
@kristakingmath 12 жыл бұрын
You're welcome! So glad you liked it! :)
@kristakingmath
@kristakingmath 12 жыл бұрын
Hooray! Congratulations! :) Good luck with whatever you have planned next. :)
@kristakingmath
@kristakingmath 12 жыл бұрын
I will definitely continue! Thanks for the kind words. :)
@redeagle8864
@redeagle8864 9 жыл бұрын
Again, thank you so much. I feel like I keep winning the lottery every time I click on one of your videos.
@kristakingmath
@kristakingmath 9 жыл бұрын
+Fred Okafor lol, love that! I'm glad you're finding them helpful.
@amthi
@amthi 11 жыл бұрын
Thanks so much. I have an exam tomorrow and seeing everything worked out from start to finish really helps. I followed along step by step and I feel a lot better now.
@RandyLott
@RandyLott 13 жыл бұрын
@TheIntegralCALC Somewhat. I graduated from my previous college and this was my first semester at this university, which is why it's difficult. I've used youtube and online books for help, but it's still a little confusing. I do understand why I would want to find the frequencies and magnitudes/phase of the components of a composite waveform, though. This is definitely used in digital signal processing.
@kristakingmath
@kristakingmath 11 жыл бұрын
Oh good, I'm so glad! Good luck on your exam!! :D
@kristakingmath
@kristakingmath 12 жыл бұрын
They definitely can! Glad this helped! :)
@kristakingmath
@kristakingmath 13 жыл бұрын
@fingerboy18 Have you been able to make some good progress though?
@baburo101
@baburo101 13 жыл бұрын
I love the classical blackboard and chalk software. Cool. Thanks for the help.
@kristakingmath
@kristakingmath 11 жыл бұрын
Glad I could help!
@FahimMotoGP
@FahimMotoGP 12 жыл бұрын
You're the best. This was my last class before graduation. Now I'm done :P
@ProMichael247
@ProMichael247 8 жыл бұрын
Super helpful! My teacher is very hard to understand and has horrible hand writing! These videos have helped a bunch. Thanks
@kristakingmath
@kristakingmath 8 жыл бұрын
I'm so glad they're helping! Thanks for letting me know. :)
@mohan153doshi
@mohan153doshi 7 жыл бұрын
Fantastic explanation - never had seen Laplace transform explained so neatly and succinctly. Your videos are just awesome. Thanks a lot.
@kristakingmath
@kristakingmath 7 жыл бұрын
Thank you so much, I'm glad you liked it! :D
@a7kc
@a7kc 9 жыл бұрын
I'm confused at 17:56 when you say you have to do 2!/2! in the numerator. Im confused why it isn't just 2! in the numerator because n=2 in that case
@kristakingmath
@kristakingmath 9 жыл бұрын
a7kc Because that would change the value of the numerator. Multiplying by 2!/2! is like multiplying by 1, which doesn't change the value.
@ZAKPARKOUR
@ZAKPARKOUR 8 жыл бұрын
I have an engineering exam tomorrow morning, Thank you for making this content! It's helped me an amazing amount :)
@kristakingmath
@kristakingmath 8 жыл бұрын
Good luck on the exam!
@ZAKPARKOUR
@ZAKPARKOUR 8 жыл бұрын
This topic featured in the exam and i nailed it thanks to you! thanks so much.
@kristakingmath
@kristakingmath 8 жыл бұрын
Awesome! So glad to hear it! :D
@slimthephoenix
@slimthephoenix 12 жыл бұрын
Thanks! These types of problems can get confusing very quickly.
@Pac2Man
@Pac2Man 11 жыл бұрын
You're a genius. Extremely well explained.
@RandyLott
@RandyLott 13 жыл бұрын
Still working on my linear time-invariant systems. It's really hard to relate it to what I know already. We use Laplace and Fourier Transforms often :(
@mindshare-revisitingmyappr6533
@mindshare-revisitingmyappr6533 5 жыл бұрын
You have so much patience..Kudos to your teaching style..the way you explain each and every small thing is really helpful..
@kristakingmath
@kristakingmath 5 жыл бұрын
Thank you, Tushar!
@chrisriker4969
@chrisriker4969 11 жыл бұрын
Are the values of f'' and f' always going to be the same for every Laplace transform problem, or does it differ depending on the original differential equation?
@FRIENDSForever-hh7dh
@FRIENDSForever-hh7dh 6 жыл бұрын
i really understood the whole concept . you are really good teacher. Thanks a lot
@dorianclare4681
@dorianclare4681 3 жыл бұрын
Jan 2021 and this video is still super helpful. Thank you.
@kristakingmath
@kristakingmath 11 жыл бұрын
I'm glad you like my style! :)
@MrPetisebok
@MrPetisebok 8 жыл бұрын
if I need to find for example y^n(y+3), How do I do that? according to the formula it is s^n F(s)-s^n-1 f(0)-s^(n-2) f'(0)...-sf^(n-2) (0) -f(n-1) (0). what do I do with ....?
@kristakingmath
@kristakingmath 13 жыл бұрын
@baburo101 Hey thanks! And you're welcome! :D
@Arglflargl
@Arglflargl 12 жыл бұрын
Hello, pleeeease make me a video!! i have an initial value problem here that i'm so stuck on, i can do it down to the part where i have to bring fractions over & combine them, i just get stuck from there on! the question is: d^2y/dx + y = 1. Thanks :) argl
@sreeharimadhu6885
@sreeharimadhu6885 4 жыл бұрын
Thank you Krista. I was not confident about solving these type of questions, but after watching your video I feel much better. Cleared my doubts well.😊
@kristakingmath
@kristakingmath 4 жыл бұрын
You're welcome, I'm so glad it helped! :D
@kristakingmath
@kristakingmath 12 жыл бұрын
Haha thanks! And I'm glad the video was helpful! :D
@ifoxrider
@ifoxrider 10 жыл бұрын
what's happen if you run into the case where your denominator is s^2+s+1. Do you use quadratic equation? It will be ugly as hell to spoil it out
@carultch
@carultch Жыл бұрын
If you get a denominator that is an irreducible quadratic, this means you complete the square to make sense of it. The inverse Laplace transform will be a linear combination of sine and cosine, both multiplied by an exponential decay term. As an example, consider (s + 7)/(s^2 + 2*s + 5) I picked this one so it would simplify without fractions or square roots. Complete the square: (s + 7)/((s+1)^2 + 4) Regroup the numerator, so that the denominator's squared function of s (prior to squaring) appears as a term in the numerator. ((s+1) + 6)/((s+1)^2 + 4) Also rework it, so that the square root of 4, appears as a factor of the remaining constant in the numerator: ((s + 1) + 3*2)/((s+1)^2 + 4) In general, the first shift theorem tells us the following: L{e^(a*t)*f(t)} = F(s - a) Where F(s) is the Laplace transform of f(t), and a is the exponential growth constant This means: L{e^(a*t)*cos(b*t)} = (s - a)/((s - a)^2 + b^2) L{e^(a*t)*sin(b*t)} = b^2/((s - a)^2 + b^2) For us, we can recognize that a = -1 and b = 2. Thus: ((s + 1) + 3*2)/((s+1)^2 + 4) = L{e^(-t) * cos(2*t)} + 3*L{e^(-t) * sin(2*t)} Thus the solution for the inverse Laplace is: e^(-t) * [cos(2*t) + 3*sin(2*t)]
@caribbeankpoplover
@caribbeankpoplover 7 жыл бұрын
Wow, I probably would have never viewed LaPlace as "not so hard" if I didn't get help from your videos! Thank you~^-^
@kristakingmath
@kristakingmath 7 жыл бұрын
I'm so glad the videos are helping!
@kristakingmath
@kristakingmath 13 жыл бұрын
@mercy777ish Daniel, YOU are so sweet! :) I hope 2012 is the best year ever for you! :D
@GarNBer
@GarNBer 11 жыл бұрын
Thank you so much, it was much easier to understand. Thanks.
@tayloreckert3257
@tayloreckert3257 11 жыл бұрын
You are such a great teacher
@kristakingmath
@kristakingmath 11 жыл бұрын
Thanks!
@MG-hi9sh
@MG-hi9sh 5 жыл бұрын
I’m very happy I got the right answer for this. It took a lot of working out.
@terrencemadanhi8833
@terrencemadanhi8833 5 жыл бұрын
Thank you Krista you are good keep it up
@Ishaqsaqi007
@Ishaqsaqi007 12 жыл бұрын
Thanks alot! Although it helps me but I wants bit more like inverse of laplace and inverse of laplace in product under different condition. It will be your affection if you help me out through your helpful tuotorials to sought out that problem. I will send u the exact topics which is creating problems for me to understand them so that you may help in the better way! Thanks again for paying attention to my request!
@kristakingmath
@kristakingmath 11 жыл бұрын
thank you so much! :)
@matheusmacedo5265
@matheusmacedo5265 7 жыл бұрын
wish I found your channel ealier :p real clear explanation, thanks a lot!
@danielnatale6130
@danielnatale6130 8 жыл бұрын
You are the biggest help!
@kristakingmath
@kristakingmath 8 жыл бұрын
+Daniel Natale Thanks!
@abhaykumar-dt5yl
@abhaykumar-dt5yl 8 жыл бұрын
can ny1 tell me...how c calculated the value of A,B,C,D
@melih96melih
@melih96melih 8 жыл бұрын
look up Partial Fraction Decomposition
@connorminx8830
@connorminx8830 6 жыл бұрын
This is awesome. Had I known about this earlier on I would have strongly considered buying the 27$ sub to your website for difeq, if this is any proof of quality therein I have no doubt it would be worth the price
@password6975
@password6975 7 жыл бұрын
extremely helpful indeed
@fazlinabasri3152
@fazlinabasri3152 8 жыл бұрын
tq krista!u have been of great help! :)
@kristakingmath
@kristakingmath 8 жыл бұрын
Thanks! I'm glad I could help!
@enderslayer2111
@enderslayer2111 Жыл бұрын
thank you so much if i had money i would have pay you for the help tbh keep it up
@beneya
@beneya 5 жыл бұрын
thank you for your explanation. Maths
@aizazullah952
@aizazullah952 7 жыл бұрын
great job ...............thank u soo much
@pauloesperon7697
@pauloesperon7697 8 жыл бұрын
you are great... thank you again.
@kristakingmath
@kristakingmath 8 жыл бұрын
+Paulo Esperon You're welcome!
@belalibrahim7501
@belalibrahim7501 8 жыл бұрын
Thanks alot , u made our live easy
@kristakingmath
@kristakingmath 8 жыл бұрын
+Belal Ibrahim You're welcome, I'm glad it helped!
@football_blunders
@football_blunders Жыл бұрын
My problem is this partial fraction
@phinpheen7541
@phinpheen7541 4 жыл бұрын
Thanks
@kristakingmath
@kristakingmath 4 жыл бұрын
You're welcome, Phin!
@Jessenu08
@Jessenu08 3 жыл бұрын
thank you so much!!!
@kristakingmath
@kristakingmath 3 жыл бұрын
You're welcome, Jesse! :D
@arsevela33
@arsevela33 12 жыл бұрын
People just dont get it!! Beggars arn't choosers... its amazing to me how they still wine about needing a specific problem just for them... and saying "I want more of these..." rather than suggesting.. these tutors are doing us a favor. so get off their backs!
@hmmusic6417
@hmmusic6417 3 жыл бұрын
THANKS !!!
@kristakingmath
@kristakingmath 3 жыл бұрын
You're welcome, HM!! :D
@michaelcastro9977
@michaelcastro9977 10 жыл бұрын
Thank you very much! U ROCK!
@kristakingmath
@kristakingmath 10 жыл бұрын
Thanks!!
@lillyel2824
@lillyel2824 3 жыл бұрын
arigatooo sensei 🧡
@kristakingmath
@kristakingmath 3 жыл бұрын
You're welcome, Lilly! :)
@dpmike32819
@dpmike32819 2 жыл бұрын
That was beautiful
@blackoperations9895
@blackoperations9895 3 жыл бұрын
wow
@alexclark5325
@alexclark5325 6 жыл бұрын
Hi Krista, what software and hardware do you use for the screen recording?
@HassanHijazi1995
@HassanHijazi1995 10 жыл бұрын
Thxxx a lot, rlly appreciated :)
@kristakingmath
@kristakingmath 10 жыл бұрын
Glad you liked it! :)
@MrRaohm
@MrRaohm 10 жыл бұрын
Hello, I'm a mechanical engineering student and I find your videos very useful! I started to see them since high school when I was teaching myself Calculus 1. I wonder what programs and tools you use to do those videos (that chalkboard with the precise handwriting), I've been wanting to do that as well (I live far from home and my sister who is in high school needs me to help her with math and physics). Thanks!!!
@kristakingmath
@kristakingmath 10 жыл бұрын
I explain here :) www.kristakingmath.com/my-videos
@shreyanjitgupta7159
@shreyanjitgupta7159 7 жыл бұрын
Great video... Hope you don't mind but you and patrickJMT, you two sound alike a lot.
@mmusa6486
@mmusa6486 7 жыл бұрын
This video isa awesome
@hamdikoraim8188
@hamdikoraim8188 9 жыл бұрын
god work
@aLQuarter
@aLQuarter 9 жыл бұрын
+Ibrahim Karim good*
@fatinamirah4426
@fatinamirah4426 4 жыл бұрын
subtitle line is disturbing my sight
@maniys
@maniys 6 жыл бұрын
thank yoooo :D
@kristakingmath
@kristakingmath 6 жыл бұрын
You're welcome, Ruchira! :D
@jgreen9381
@jgreen9381 10 жыл бұрын
The presentation is great. I just feel it's a little over explained. If someone doesn't know how to isolate a variable by dividing, and they are in a differential equations class solving Laplace transforms they are in for a world of hurt. That really is my only criticism
@Bitapigeon
@Bitapigeon 10 жыл бұрын
You smart beautiful girl! I love you! :)
@kristakingmath
@kristakingmath 10 жыл бұрын
I love you too! :D
@jiberuba8856
@jiberuba8856 7 жыл бұрын
Krista King hi need your help about this problem
@bhag446
@bhag446 6 жыл бұрын
U looking beautiful
@musaabdulhamid5037
@musaabdulhamid5037 6 жыл бұрын
please can you be my girlfriend ... with you by my side i will never fail again
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