Laplace Transform: First Order Equation

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
Instructor: Gilbert Strang

Transform each term in the linear differential equation to create an algebra problem. You can transform the algebra solution back to the ODE solution.

License: Creative Commons BY-NC-SA

[WASA]

"The purpose of a Laplace transform is to convert a differential equation into an algebraic equation." Well said, prof.

[quantummath]

Gilbert Strang ... what a fantastic educator. Hats off to you sir.

[Cassiro]

Let me just say, that my mathematical skill have improved three-four fold since I've been working our out your linear algebra lessons, along with other mathematical concepts. Thank you Prof. Strang!!

[quahntasy]

This is probably the best Laplace video and I am saying this after watching 5 or more videos on this same topic and not understanding a thing.

[ParagMantri]

While the videos with colourful animations on the subject looks great, this the only way to learn. You never get to the depth of mathematics in those videos. Thanks Professor!!

[alvarogonzalez]

With these videos I'm managing to truly see the connection between what I had seen in different courses at my university

[mathhack]

Amazing guy, a treasure. I followed him more than 10 years ago and I still learn 
Thanks MIT for sharing such wonderful Gems.

[scretching]

I've studied advanced calculus for years but this is the best description and explanation so far.

[earadicator]

"Do you realize what we've done?" I got chills.

[Cassiro]

Amazing Prof Strang! Indeed, a professor who knows how and what to teach. I plead to you for help. When I was in fourth grade we learned to extract a square and cube root of a number. It has been so long and one gets used to calculator, that I no longer know how to do that. No one in the YouTube community has posted. I am have a feeling you are the indicated person to refresh my memory. With all my respect, I bid you peace. Muchas gracias!!

[Sunny-qeel]

I am so grateful to MIT and their excellent pedagogy for proving us with knowledge through MIT Open Course Ware.

[idx]

I've watched several videos on this topic, but this one is the first one that explains in a few minutes what it's all about, what the purpose is, how to use it and how it works. I probably would have studied better at MIT, then I would have understood the Laplace transformation 30 years ago. Thank you!

[yuntongzhou]

Our instructor spent an entire lecture on this. What's so wonderful is that he used the same materials, i mean examples, and I didn't understand a single word.

[curtmcd]

That was an amazing amount of topic coverage for only 2 blackboards full. Great!

[mohammedal-haddad]

I can say that a high school student or a post graduate student would learn something from Professor Strang by just watching a video of his.

[meetghelani]

Gil Strang is one of the best educators that have ever existed on earth.

[RaguRaghupathi]

Brings me back to 1964 when I was taught Laplace Transforms by a wonderful teacher in India - as good as the MIT professor. I have fulfilled my long lost desire to learn from a MIT professor. I am tickling myself...

[giangpham]

The Laplace Transform of e^(at)=1/(s-a) only true when s>a, so that means we can only conclude the y(t)=y(0)* e^(at) when s>a sir, what about s<a?

[ashishtewari]

Finally after so many years I could understand the use of LT...thanks Prof for the enlightenment 🙏

[elamvaluthis]

Superb clarity, crystal clear.sincere devoted professor.