Question

Is anyone able to explain to me what a Laplace transform is?

I don't have any specific questions, but if anyone could help it would be greatly appreciated.

Answer 1

normal functions are in the time domain, laplace transforms into the frequency domain

Answer 2

only positive frequencies make sense

Answer 3

and the mathematics involved?

Answer 4

is complex,

Answer 5

Do you know of any videos on khanacademy?

Answer 6

I should have probably looked there first.

Answer 7

There is heaps! Thanks anyway. I will look into it and come back if I have trouble. Thanks for your time

Answer 8

when you hear noises tiny hairs in your ear vibrate if they are the exact length of the vibrations traveling through the air , your ear performs a similar effect to the laplace transform,

Answer 9

I see, thanks for the analogy.

Answer 10

The Laplace transformation is a method for solving differential equations and associated initial and boundary value problems.
The particular problem is first transformed into a subsidiary equation that can be solved algebraically. The solution is then transformed back to obtain the solution of the problem.
The advantage of the Laplace transform is that it reduces the difficulty of solving a differential equation to a purely algebraic problem.
This method of switching from the operations of calculus to algebraic operations on transforms is called 'operational calculus'.

Answer 11

Oh cool, thanks a bunch. :)

Answer 12

You're welcome :)