Laplace's equation

Laplace's equation is a mathematical equation named after the French mathematician Pierre-Simon Laplace. The equation is used to figure out the behavior of a system when all forces within that system are balanced. Laplace's equation is important in physics, engineering, and mathematics, as it helps describe many natural conditions, such as the shape of a mountain or the movement of electric current. It's sometimes described as an equation that explains the behavior of a system in equilibrium, meaning when there is an equal amount of positive and negative forces, like two equal and opposite forces pushing against each other, canceling each other out. Laplace’s equation looks like this: ∇2Φ = 0. It means that if you take the second derivative (a derivative is a mathematical tool that measures the rate of change of a function) of a function (Φ) in two or three dimensions, and it equals zero, then you have Laplace’s equation.