 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2024/paper-2/15/a/iii/solution

m = \frac{- 3 \pm 9 - 16}{2} = - \frac{3}{2} \pm i \frac{7}{2} .

Taking real linear combinations of the two complex exponential solutions yields

y (x) = e^{- 3 x /2} [C_{1} cos (\frac{7}{2} x) + C_{2} sin (\frac{7}{2} x)] .

β

is three here, as confirmed in the PDF; the OCR replaces it by an undefined symbol.

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