Differential Equations: Lecture 7.1 Definition of the Laplace Transform Part 1
This is a real classroom lecture on differential equations. In this lecture I covered section 7.1 which is on the definition of the Laplace Transform. I hope this video helps. These lectures follow the book A First Course in Differential Equations by Dennis Zill. This is a great book for learning differential equations. Here is the book amzn.to/4ajOMyW (affiliate link).
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Thank you:)
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I don't know if you'll ever see this you absolute wizard, but I really appreciate what you've done for me in terms of differential equations. Guarantee I would have failed my class without you, and I can't thank you enough for how you break down the concepts and make the ideas so much more understandable and WAY less scary! You are incredible! :D
I'm taking DE's for the first time. I love math and I am so glad I found your channel! I love having good full lectures to watch and take notes! Also I love your other content. I really like math and think about pursuing it outside of class. Thank you for sharing all of your knowledge with us.
If anyone's wondering what s represents, the short answer is complex frequency. It is a complex number, where the real part is an exponential decay rate, and the imaginary part is the frequency of waveforms. So this transform scans the original function for a spectrum of frequencies and exponential decay rates, and that spectrum is what the transform represents.
Absolutely devestated the playlist doesn't continue.
Hi could you please do 7.2 inverse transforms and 7.3 transforms of derivatives and 4.9 solving linear DEs by elimination. I wish all proffs can teach like that your videos helped me so much in DE thankyou!
@TheMathSorcerer
4 жыл бұрын
You are welcome! I have more here kzread.info/head/PLO1y6V1SXjjOxAE4cqHXhD2dsO8cnlick just scroll down also newer ones here, mainly 7.2/7.3 kzread.info/head/PLO1y6V1SXjjNlLLQ9R-fkYwshOnAiS1hB
thank you so much
Sir you have 3 videos on definition of laplace transform, all cover same outline? is it so?
hi we are busy with laplace in engineering at stellenbosch university and my lecturer gave us a problem. i used the method in the video and get to a different final answer i just wanted to know what the answer would be to the problem, f(t)=t^2.e^-2t