Exponential growth describes a process where the rate of change of a quantity is proportional to its current value, leading to growth that accelerates over time. It can be modeled by the differential equation $\frac{dy}{dt} = ky$, where $k$ is a constant.
Differential Equation: An equation involving derivatives of a function or functions.
Natural Logarithm: The logarithm to the base e, where e is approximately equal to 2.71828. Used in solving equations involving exponential functions.
Integration: The process of finding the integral of a function, often used to determine area under curves and solve differential equations.