 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-2/41c/b/i/solution

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

H (θ) = 1 + μ (1 - e^{- i θ}) .

θ = π

∣ H (π) ∣ = 1 + 2 μ .

Since the Courant number obeys

μ \geq 0

, stability therefore holds exactly for

μ = 0 .

 New to topics? Read the docs here!