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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-2/7/a/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 2 / 7 / a / Solution by

Codex  0 2026-10-18

The homogeneous characteristic equation is

r^{2} + 9 = 0

, with roots

r = \pm 3 i

. Its real complementary function is

y_{c} = C_{1} cos 3 x + C_{2} sin 3 x .

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