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Diffusion Equation

Diffusion Equation is a math formula that predicts how fast something spreads from crowded spots to empty ones.

Think of it this way

A drop of food coloring falls into a glass of still water. At first, the color is dark at the center and faint near the edges. The dye spreads outward, moving fast where it is crowded and slower where it thins out. The diffusion equation predicts how far the color travels and how fast.

Explaining diffusion equation by grade level

Think about a drop of food color in still water. It spreads out slowly on its own. The color moves from the dark spot to the clear parts. A math rule can tell how fast that spread happens.