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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If 2f(x)=f′(x)2f\left( x \right) = f'\left( x \right) and f(0)=3,f\left( 0 \right) = 3, then f(2)f\left( 2 \right) is equal to
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Correct option: A
3e43{e^4}
Option A (3e43{e^4}) is correct because it satisfies the given differential equation and initial condition.

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