Laplace transforms / differential equations review

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A basic example on how to apply Laplace transforms to solve differential equations. The ideas employ the second shifting theorem and the transform of derivatives..
  1. Dr Chris Tisdell
  2. Laplace transform
  3. second shifting theorem
  4. differential equation
  5. revision
  6. review
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Комментарии
Автор

Another lovely short example - thank you!

Is there anything wrong with putting the answer in the form u(t-1)(1 - cos(t-1) )?

I saw Y(s) = [e^-s/s] * [1/(s^2+1)] and immediately thought "Aha, product of two transforms again - it's the convolution of u(t-1) and sin(t)!!" Shall have to go off and do some reading.

Ensign_Cthulhu
Автор

Best of luck with this material! If you enjoyed this video then you will find many more examples in my new ebook. It is free to download - the link is in the description.

DrChrisTisdell