Euler's Method

Euler's Method is a way to approximate the solution to a differential equation, which describes how something changes over time or space. Imagine starting from a known point on a curve; the method predicts the next point by using the slope (rate of change) at the current point to make a small step forward. Repeating this process creates a series of points that form an approximate path of the actual solution. It's like taking tiny, straight-line steps along the curve, helping us estimate the behavior of complex systems when exact solutions are difficult to find.