Green's Functions are mathematical tools used to solve differential equations, particularly in physics and engineering. They represent the response of a system to a point source or impulse, allowing us to understand how the system behaves under various conditions. By using Green's Functions, we can simplify complex problems into more manageable forms. In many applications, such as electromagnetism and quantum mechanics, Green's Functions help find solutions to boundary value problems. They provide a way to express the solution as an integral involving the source and the Green's Function itself, making it easier to analyze the effects of different forces or influences on a system.