Question

LAPLACE...Determine t*e^t ?

t*e^t

the power of t

Answer 1

Step 1:

Definition of Laplace transform :

Laplace transform , of a function for is defined by the following integral over :

.

The Laplace transform of is equals to :

.

Step 2:

The function is .

Apply Laplace transform on each side.

Using Laplace transformation formula :

.

Solution :

.