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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Let ff be a function defined for every xx, such that f′′f^{\prime \prime} =−f,f(0)=0,f′(0)=1=-f, f(0)=0, f^{\prime}(0)=1 then f(x)f(x) is equal to
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Correct option: C
sin⁡x\sin x
Option C (sin⁡x\sin x) is the correct solution because it satisfies the given differential equation and initial conditions.

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