The Laplace Transform for Dynamic System Mathematical Models

The Laplace Transform. What is a Laplace Transform and why is it used in Engineering and dynamic systems? In this video I will explain why is is important to apply the Laplace transform to differential equations when modeling dynamic systems. We will work through a simple mechanical system by writing a mathematical model in the form of a differential equation then finding the Laplace transform for that dynamic system.
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[@oddkxng8525]

Best explantion yet.

[@Oramosengr]

Thank you so much for this explanation! So clear! I had a professor that pulsating explain a thing. Wrote this out in a couple lines and about three minutes later moved on. You explained everything about it. That quiz, I could have made a 100 had i just watched this video. Spent hours trying to understand the why. No textbook to refer to either. The guy had 5 textbooks and made up his own stuff. No consistency.
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[@ryonatkinson6637]

thanks bro

[@feezor4]

Why do X and U at timestamp 4:20 have a parenthesis 's' attached to it? Could you go more into depth on that? Thanks!

[@Oramosengr]

I believe he is referring to the time domain in seconds (s). Like explaining how far it moved in respect to how long it takes to move. I believe. Hope this helps.