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NVAMediumJEE Main 2023 · 1 February, Shift 1Linear Differential Equations

Mathematics Question from JEE Main 2023 · 1 February, Shift 1

Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a differentiable function such that

f′(x)+f(x)=∫02f(t) dt.f'(x) + f(x) = \int_{0}^{2} f(t) \, dt.

If f(0)=e−2f(0) = e^{-2}, then

2f(0)−f(2) is equal to: 2f(0) - f(2) \text{ is equal to: }

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