Laplace's Equation

Laplace's Equation is a mathematical expression used in various fields like physics and engineering to describe how things change smoothly across space. It states that the average value of a function in a small region is equal to the value of that function at a point. This concept helps in understanding steady-state conditions, such as how temperature distributes in a room or how electric potential behaves in a region without charges. Essentially, it indicates that many natural systems tend to reach equilibrium over time, leading to stable and predictable patterns.