Differential Equation Using Laplace Transform + Heaviside Functions
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- เผยแพร่เมื่อ 21 ส.ค. 2024
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In this video, I solve a differential equation using Laplace Transforms and Heaviside functions. I would have a table of Laplace Transforms handy as you work these problem! I assume in this video that you are comfortable working with Heaviside functions and also using tables of transforms.
I may sound like a nerd, but I'm kind of sad that tomorrow I take the last math test of my life. I truly appreciate you taking the time to break these concepts and problems down step by step. I wish nothing but blessings from God on you, and I pray that his grace reign on your life even after you take your last breaths on this Earth! Thanks so much!
such a creepy comment
@@nlmnx5763 kinda but guy's just emotional
That's until you move on up and the require more math xD
It felt so nice when you explained every step so slowly, unlike others who just go like *this is basics we all know*. Thank you so much!!!
You are a legend among men
You're a complete life saver. I have an exam with Laplace transform questions this week. Perfect timing!
+IHEARTEMMAWATSON stay tuned, I'm at the coffee shop writing up a few more things about heaviside functions and Laplace transforms! Gonna go back to my dark room and film soon...
I'm writing my Differential Equations final exam tomorrow and you just saved my life! BTW you also helped me pass Calculus last semester haha.
watching this 3 hours before my exam
1hour 38 minutes before for me
@@junhoha7272 1 hour 30 minutes for me
me 2
Watching this 20min before
Watching in exam
Funny how you posted this right now! I've got my mideterm of Calculus III (Laplace transforms, systems of linear differential equations, etc) in about 8 hours, so I already studied this, but when I saw it popping up in my feed I decided to give it a look just to revise :)
+SuperGoldenGhost hope it helps :) best of luck on the exam! Study study study!
you by far have the most helpful videos for diff eqs
The best video on the subject for sure! Very clear.
I passed my exam with this lesson!!good work !!
Partick can you please make a few videos regarding the Dirac-delta function and it's Laplace transform?
This couldn't have come at a better time. We are learning this right now in my diff eq class and I was reading through the book and lecture notes struggling to understand this and you explained perfectly! Thank you so much!
Alex Yokiel, the same to me. I am going to have my final test friday.
I'm taking Diff EQ in a one month term. Learned this today and am covering new material tomorrow that will be on the exam in 2 days. This is the first time in any math course that I've ever been completely dumbfounded about material
I was like "OOOOOOoooo Laplace transforms! ... (clicks video) " I think i like math. I'm not sure how to feel about this.
Enlightening techniques especially using the second shifting theorem to makes things easier. Blew my mind!
Lots of thanks to you dude
at 25:29, that inverse Laplace equation should equal to f(t) Not F(s)
i watched my professor's videos so many times and still didn't get this, thanks
THANK YOU THANK YOU THANK YOU going over this video for the 4th time in as many weeks--diffy final is in 2 hours!
Hey I got an 88% 😅 thanks Patrick
@@liesalllies ayy nice work dude
Call Arizona State University and demand at least 3/4 of the tuition I paid for MAT275 because you've certainly earned it.
Thanks! I couldn't make the lecture on this subject and have a test on this pretty soon.
Patrick you're a life saver!!!
Lol perfect! I'm taking Diff-Eq this semester :D
congratulations and thank you Patrick. it helped me a lot
Very good explanation, much appreciated.
Thank you mr. Patrick, very cool
Thank you Professor!!
You are welcome!
Brilliant video as always!
massive effort pat thank u
Can you go into a little more detail about computing the Heaviside part? I am a little lost in that area. Why are you saying f(t - c) = 1. I know it's a function. Is it coming from the g(t) part where 0 if 0
Can you make a video about Dirac Delta Function involving laplace transform please?
do we always leave the e^s term on the right side as a separate term?
well man..i understand very well now is my turn to practices more thanks indeed
Thank you so much this actually make a lot of sense.
great explanation. Thank you
Awesome video! Thank you!
Thank you so much this was very helpful😊
How would you plot the final result in the function g(t), with the unit-step limits?
i hope you focus in Diffrential equations a little bet more plz
Yeah, I was looking for videos like these. I think he only had one other video talking about Heaviside.
uploading more at the moment. sorry it took so long to get the other parts out. i get easily distracted.
mohanad ghazi
patrickJMT do you know Tyler Dewitt
thank you
Thank you guys
thank you sir
what about y(t)=0
did you sove for it
Hello, would it be possible you to solve the equation by applying collocation method say using Chebyshev polynomials? I would be thankfull. Greetings from Poland
Thank god this is the highest level of Maths I need to learn to be a high school Maths teacher. I think I've reached my genetic potential 😂
Good luck
Beyond Infinity Thank you! I ended that course with a credit average. Not my best work, yet good considering my circumstances!
Plzzz help me sir has given me Assignment that has include 3y"+3y'+y=g(t)
And interval is from 1 to 2 ....
Awesome post ...thanks
Great job
Great video thanks so much you are very great man
Thank u for this video
amazing
who else is taught more precisely by TH-cam lecturers than university ones🤭🤭🤭
omg thank you so much
Hello,
Is there a video for Partial Differential Equations using Laplace Transform + Heaviside Functions???
thanks
how would you take Laplace if there was a 1/t multiplying by the y'?
thank's man! :) very well
What happened to y'(0)=1 in the LHS? Shouldn't the result be y(s^2-1+3s+2)=y(s^2+3s+1)?
Sorry, I see my mistake. The -1 is on the other side of the equation. It's not multiplied by Y(s).
what if it is y''' would the eqn be s^3y(s) - s^2y(0) - sy(0)' - y(0)'' ?
bruuhh:D bro i had not seen anything like that before since i watched taylor maclavrin till now
@2:06 is there any procedure to write that heaviside function form????
What's the name of the textbook you had in the video?
What if you don't have initial values?
why didnt you state the range?
H(t-1) is just left like that?
Can I know what is your reference book for the tables? struggling student here
just some differential equation textbook. you should be able to find them online as well
On behalf of this video, I'd like to apologize to forests everywhere.
i don't even recycle the paper either, i just throw it on the side of the road with some burning tires
@@patrickjmt Savage
Sir I want a prblm L inverse of {19p+37/(p+1) (p+2) (p+3)}
man I thought he was joking before he showed us that table
wadlebutt, you are back!
Consult m any best book for integrals transfer
Lol is there an area of math that you're not familiar with
Absolutely, this stuff is at least 100 years old.
I'm usually good till they put 10 of these on a test and only give 2 hours to complete, which shows me my school & teachers don't know how to multiply or divide, which isn't what I want to hear when I'm paying money for it. I mean 30m*10questions = 300 minutes really isn't a hard problem.
i literally cannot stand your marker on that paper
Please stopping calling the Heavaside function, it’s heaviiiiside function named after the mathematician Oliver Heaviside
man calculus is so useless. I wish I could use my free time to learn practical stuff instead of losing time with this.