 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-4/31d/a/solution

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

With

y = q^{- 1/4} e^{λ S}

, leading order gives

S^{'} = \pm i q

and the transport equation gives the

q^{- 1/4}

amplitude. Superposition yields the stated WKB approximation form.

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