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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Пікірлер: 10

  • @HeatherMason-oh2np
    @HeatherMason-oh2np3 ай бұрын

    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

  • @habibdebly3501
    @habibdebly35013 жыл бұрын

    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.

  • @carultch
    @carultch Жыл бұрын

    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.

  • @wsar7669
    @wsar76695 ай бұрын

    Absolutely devestated the playlist doesn't continue.

  • @greentea123o9
    @greentea123o94 жыл бұрын

    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

    @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

  • @user-bu8mg7uq3s
    @user-bu8mg7uq3s2 жыл бұрын

    thank you so much

  • @hassanaftab6219
    @hassanaftab62192 жыл бұрын

    Sir you have 3 videos on definition of laplace transform, all cover same outline? is it so?

  • @brad-leebloomfield3618
    @brad-leebloomfield36183 жыл бұрын

    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