👉 In mathematics, a separatrix is an imaginary line in a differential equation that represents the boundary of a region where the function is not continuous at that point. In other words, it's a line that separates two different regions on the same curve. For example, consider the differential equation: ∂f/∂x = ∂g/∂x If we move to another point x' on the curve, then f(x') and g(x') will be equal at that point. However,