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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-105/1/b/vi/solution

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Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 105 / 1 / b / vi / Solution by

Codex  0 2026-09-28

For

ϕ = t - x_{1}

, the conormal is

d t - d x_{1}

, and

p (d ϕ) = - 1 + 1 = 0.

This null hyperplane is a characteristic hypersurface of the wave equation.

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