Video Lecture 11 - Laplace Transform

We introduce the Laplace transform - the main tool we will be using in this course. The Laplace transform will be used to turn (difficult) ODEs and IDEs into (simple) algebraic equations. Note: there's a typo at 27:38; I wrote exp(-sτ)exp(as), but it should be exp(-sτ)exp(aτ). This is fixed in the next equation. ▬ Contents ▬▬▬▬▬▬▬▬▬▬ 00:00 - Motivation 04:22 - Definitions 09:14 - Example 1: Constant 21:03 - Example 2: Heaviside 26:37 - Example 3: Exponential 31:07 - Example 4: f(t) = t 37:44 - Exercise (homework) 38:44 - Another exercise (homework) 39:46 - Sine and cosine 44:22 - Exercise (homework) 52:04 - Another exercise (homework) ▬ Control Systems Textbook ▬▬▬ Check out my textbook on control systems at https://bit.ly/control-systems-book Paperback available on Amazon: US/International: https://www.amazon.com/dp/173913866X UK: https://www.amazon.co.uk/dp/173913866X Other countries: Australia: https://www.amazon.com.au/dp/173913866X Canada: https://www.amazon.ca/dp/173913866X France: https://www.amazon.fr/dp/173913866X Germany: https://www.amazon.de/dp/173913866X Italy: https://www.amazon.it/dp/173913866X Japan: https://www.amazon.jp/dp/173913866X Poland: https://www.amazon.pl/dp/173913866X Spain: https://www.amazon.es/dp/173913866X Sweden: https://www.amazon.se/dp/173913866X The Netherlands: https://www.amazon.nl/dp/173913866X