Let f: R \to R, such that f^{' '}(x)-2 f^{'}(x)+f(x)=2 e^{x} and f^{'}(x)>0 \forall x \in R, then which of the following can be correct

| {f}( {x})|=- {f}( {x}), \forall {x} \in {R}

JEE Advanced 2020 Concept Recapitulation Test 3 Paper 1

Question : 37 of 54

Marks: +1, -0

Let f:R→R, such that f′′(x)−2f′(x)+f(x)=2ex and f′(x)>0‌∀x∈R, then which of the following can be correct

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