Confusion in basics of Laplace Transform

1. What does the Laplace transform really tell us?
2. Which function has no Laplace transform?
3. What are the types of Laplace transform?

What does the Laplace transform really tell us?

The Laplace transform is used to solve differential equations. It is accepted widely in many fields. We know that the Laplace transform simplifies a given LDE (linear differential equation) to an algebraic equation, which can later be solved using the standard algebraic identities.

Which function has no Laplace transform?

It must also be noted that not all functions have a Laplace transform. For example, the function 1/t does not have a Laplace transform as the integral diverges for all s. Similarly, tant or et2do not have Laplace transforms.

What are the types of Laplace transform?

Laplace transform is divided into two types, namely one-sided Laplace transformation and two-sided Laplace transformation.