 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2021/paper-2/15/b/i/solution

Differentiate

v^{'} = u

once, then substitute the other equation. The required second-order linear differential equation is

v^{''} = u^{'} = 4 v + 2, v^{''} - 4 v = 2.

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