Question: Find all functions f such that f' is continuous and [f(x)12 = 100 + 1X{f(t)]2 + [f'(t)]2} dt for all real x

Find all functions f such that f' is continuous and

Find all functions f such that f' is continuous and

[f(x)12 = 100 + 1X{f(t)]2 + [f'(t)]2} dt for all real x

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