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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/iii/paper-331/3/b/solution

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Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 331 / 3 / b / Solution by

Codex  0 Created 2026-10-03 Updated 2026-10-05

Termwise differentiation of the matrix exponential gives

A^{'} = L A

and

A (0) = I

. Thus

x (t) = A (t) x (0)

satisfies

x^{'} = Lx

and the prescribed initial condition. Uniqueness for a linear differential equation makes it the solution.

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