 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ia/paper-1/11e/c/solution

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

For

h = f_{1} - f_{2}

h' = 1 + x (f_{1} + f_{2}) h

and

h (0) = 0

. On every compact subinterval the coefficient is continuous, so Gronwall inequality gives

h = 0

; hence equality holds throughout

[0, a)

 New to topics? Read the docs here!