Final answer:
The task is to find the Inverse Laplace transform of a given function in the s-domain, a mathematical operation which is used to determine the corresponding time domain function for differential equations.
Step-by-step explanation:
The question asks to determine the Inverse Laplace transform of F(s) = ((as + b) / (s + c)2 + w2). This is a problem within the realm of Mathematics, specifically within the area of differential equations. To find the Inverse Laplace transform, we can use the property that associates a given function in "s" domain with its corresponding function in the time domain. However, the provided reference information does not directly help in solving the Inverse Laplace transform of the given function, F(s).