 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2016/paper-1/17/b/iii/solution

y = C_{0} + C_{1} e^{x} + C_{2} e^{- x} + C_{3} cos x + C_{4} sin x - \frac{x ^{2}}{2} .

The five constants remain arbitrary until initial data are specified.

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