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The exponential function e^x represents continuous growth or decay over time. It is defined as raising Euler's number (approximately 2.71828) to the power of x.
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Exponential Growth/Decay: A process where a quantity increases or decreases by a fixed percentage over equal intervals of time.
Natural Logarithm (ln): The inverse operation of exponentiation with base e. ln(x) gives us the power we need to raise e to obtain x.
Differential Equations: Equations involving derivatives that describe rates of change in various scientific and mathematical contexts.