 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ib/paper-4/14b/ii/solution

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

When

κ = 0

, the characteristics satisfy

x - a t = constant

and

u

is constant along them. Therefore

u (t, x) = u_{0} (x - a t) .

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