Question

Tutorial * Convolution * study Session, come if you want to learn!
Also any feedback about this would be appreciated. If you need clarification or perhaps you think there is a mistake or a misunderstanding in my approach, please feel free to comment. Your involvement is much appreciated, thank you!

A better question stated here asking to solve the coeffecients C_k of X^k of the power series is better stated here http://youtu.be/3ejfkMHr_DE?t=2m10s

Answer 1

Lerning :D

Answer 2

Okay this is where we start we want an equation for
F(S)G(S)
if F(S)=Laplace(f(t))
G(S)=Laplace(g(t))
F(S)G(S)=f(t)(*)g(t), where this "f(t)(*)g(t)" is known as the convolution of f(t) & g(t)

Answer 3

Okay to fully understand the convolution formula it is vital to first understand the origin of the laplace transform

Answer 4

Laplace transform can be simple seen as the continuous verstion of the otherwise discrete nature of a power series

Answer 5

power series is the origin of all good things!