Laplace transform | Concept

Feel free to play at different speeds as per your level of understanding.

0:00 What is in this video?
1:27 Child's Intuition Behind Laplace Transform
3:00 Mathematics Behind Child's Intuition
9:14 Example of a Laplace Transform
10:32 Summary

Journey of the video:
The idea of cutting 6 to get 64/16=4 was pretty interesting because of the fact that the answer was correct . I was learning calculus , and the logarithm and the exponential functions seemed to be related with each other . The Laplace transform though we think of it as a differnet type of transform but looking in some deeper sense , it makes sense how we convert the logarithm into geometric series using the same cutting rule, which mathematically is differentiation and in similar pattern , if we tried to transform the exponential function into geometric series sum, it will be transformed by nothing but Laplace transform. The result was quite astounding so I couldnt stay without uploading this video .

[rhalasur]

I suggested this video to my doctor friend, to use it as prescription for the sleep deprived.