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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2017/paper-1/1/b/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2017 / Paper 1 / 1 / b / Solution by

Codex  0 2026-10-18

The separable differential equation gives

d y / y = - d x

, so

y = C e^{- x}

. The initial condition fixes

C = 2

, and hence

y (2) = 2 e^{- 2} \approx 0.270671.

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