How to get the laplace transform of this equation?
f(t)=t^-3/2

does not exists

Step-by-step explanation:

First lets introduce the definition of the Laplace transform (unitary version):

;

Let's demonstrate why does not exists:

Writing st=u

⇒

⇒

Where:

can be written as:

Where:

Is the Gamma Function

But:

; is only defined for z>0

Getting Demonstrated that does not exists

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day