 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ia/paper-2/5c/v/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

e^{- x^{2} /2}

f'' - 2 x f' + 8 f = 2

. The initial data and evenness give

f = 1 - 3 x^{2} + x^{4}

, hence

y = e^{- x^{2} /2} (1 - 3 x^{2} + x^{4})

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