09 - Solve Differential Equations with Laplace Transforms, Part 1

In Shona language this Lecturer is named Shangwiti meaning legend.😊

Im in 10th grade and amazed that you were able to make me understand stuff till here. You are amazing ngl

Thank you Sir . Can I get a generalization for Laplus transform of n th derivative of X with respect to t please 🙏

very useful and beuatiful videos. Thank you!!!

Thank you so much for taking time to break everything down into steps. You're a lifesaver. God bless you!

this chanell owns laplace transform

thank you our Math teacher. i learned with this video that Laplace transform can be exploited for solving diff.equations in easy way.

How the heck did Laplace come up with this? Genius. The amount of brainpower is staggering.

Excellent teacher.Anybody can easily understand your steps and great method thanks a lot

Again. I love you....

I'm so grateful sir🇿🇦

Immense gratitude Sir.

Can you help me and solve question for me now

I reallly wish I had professors like you

Thank you so much you are the best teacher

🙏🏾

omg much respect and grateful for you, wish my lectures were able to teach this well !

Be blessed..

you very good

Excellent!!! Thanks!

By far the best teaching of Laplace transform that I have found online, better than both DE professors that I've had! Videos are very well put together too. Much appreciated!

This guy is the best Math teacher I have ever had in my life. Thank you so much for your effort, you literally made this topic as simple as addition and subtraction.

I love you, Jason! you're the greatest! I'm your fan!!! ❤

Best Video on the topic

💪💪💪💪💪

Wow! Amazing teaching. Thank you Sir.

your super I love you

I skipped all my classes, and you got my right on track in a weekend! Thank you for your videos they are very helpful❤.

I wish I could like this a hundred times, thank you 🤲🥺

Brilliant explanation

Mr you are my teacher 🙏 I don’t speak yet English fluently but can follow and understand your explanations. Thank you so much 👌🙏

excellent teaching skill

dumb question after doing an example i came up with at random (I just made up a second order differential equation that seemed easy enough), Can the solution be a complex function? I don´t see why it shouldn´t but I thought I better ask.
The DE I tried was D^2x-Dx=0 with x(0)=1 and x'(0)=1 and the result was Cos(it) unless I have a mistake somewhere.
yup there was a big mistake as I just checked the inital conditions, the first is met, the second isn´t. I was just happy that my first try at it came out immediately in the shape like in the table s/(s^2-1) so s/(s^2+i^2) meaning cos(it)
though maybe my "failure" was me missing that I just made up a "hidden" first order?

nice video but I hope you don´t mind me saying that, but I think a derivation of the la place transform of the derivative would have been worth it. Especially as you referenced what happens inside the transformation multiple times. And then we could´ve very well stopped at a point "here is the laplace transformation of the original function x" which of course would show that the la Place transform for higher order derivatives is recursive (because the la place transform of the integrated part is still a derivative and thus the whole process kicks up again). But that´just my opinion. But well I just want to know why something happens. I understand why you decided against it, after all I just saw the LT of the wanted function in the LT of the first derivative and pretty much knew how to deal with higher order derivatives (just do it again until all derivatives are gone. pretty much i just couldn´t come up with a completely correct general expression on my own upon seeing the LT of the integrated function appear in the LT of the derivative). But I personally would have preferred to see the derivation. No matter as you said it´s just IBP so I should be easily able t odo it myself. chosing x' dt as dv and e^-st as u should do the trick, right?^^

Lesson starts at 3.30

What goes from zero to infinity - s or t?

Thank you so so very much you are a real blessing. May God bless for making our lives so much easier. Its hard to find a real smart person that can actually bring it down to the level of a students understanding but you have done this i am very grateful.

Your channel is awesome , but I have a recomandation , Furie series video. I support you channel to grow.

Really thank you go this series of videos about laplace transform

In Arabic : شكرا لك أيها المعلم

Excellent video, though, at 17 minutes in, I'm pretty sure you had explained the Dx notation three times.

Very good videos. Great teacher.

Great explanation and perfect pace

Extremely Brilliant explanation.. you deserve more.
Man you are just splendid with reasoning.

needs this for my masters
thank you

This guy is love . His teaching comes purely from heart .

😍😍😍

This man is my hero. I am an Electrical Engineer student and I love this videos. Really helpful for my circuit analysis 2 class and my Differential Equations class. Thanks

woow i do not need to go to classes anymore you are an amazing lecture plz keep us updated in the math world