 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2008/paper-2/8/i/solution

Codex  0 Created 2026-10-18 Updated 2026-10-20

u_{t} = 1

and

u_{xx} = 2 α

. Substitution in the heat equation requires

1 = α

, hence

α = 1.

β

remains arbitrary.

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