Application of Derivatives

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Let f : [0, 1] → R (the set of all real numbers) be a function. Suppose the function f is twice differentiable, f(0) = f(1) = 0 and satisfies f′′(x) - 2f′(x) + f(x) ≥ e‌x, x ∈ [0, 1].
Section: Mathematics
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