That's what I would say Because laplace is an integration transform so that it cannot be Distributed on 1 function times other.
And I want to take ur attention dave that ur Relevant equations is wrong and the right is :
L (sin kt )= k/(s^2 + k^2) not = k^2/(s^2 + k^2)
hope u get it
it's not homework but it's something I can't make any sense with it
why when we transform from cylindrical 2 cartisian or the inverse we take the unit vector in our
consideration and transform it also not just transform the function and relate it to the other
unit vectors ??.
for example ...