Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.2 The Exponential e, #23 · Calculus · Differentiation rules

The function … solves

The function $y = e^{x}$ solves $d y / d x = y$ . Approximate this equation by $Δ Y /Δ x = Y$ , which is $Y (x + h) - Y (x) = hY (x)$ . With $h = \frac{1}{10}$ find $Y (h)$ after one step starting from $Y (0) = 1$ . What is $Y (1)$ after ten steps?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.2 The Exponential e, #23

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