Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.2 The Exponential e, #24 · Calculus · Differentiation rules

The function that solves … starting from … at … is ____

The function that solves $d y / d x = - y$ starting from $y = 1$ at $x = 0$ is ____. Approximate by $Y (x + h) - Y (x) = - hY (x)$ . If $h = \frac{1}{4}$ what is $Y (h)$ after one step and what is $Y (1)$ after four steps?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.2 The Exponential e, #24

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