Inverse Laplace Transform

1. What is inverse Laplace transform formula?
2. What is the inverse Laplace transform of 1 /( S 4 )?

What is inverse Laplace transform formula?

Definition of the Inverse Laplace Transform. F(s)=L(f)=∫∞0e−stf(t)dt. f=L−1(F). To solve differential equations with the Laplace transform, we must be able to obtain f from its transform F.

What is the inverse Laplace transform of 1 /( S 4 )?

It is equivalent to 1(4−1)! lims→0∂4−1ets∂s4−1=13!