JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Application +4 | -1

f(x)+f^{\prime}(x)=\int\limits_{0}^2 f(t) d t

and

f(0)=e^{-2}

, then the value of

f(2)-2 f(0)

is:

View answer and explanation

Correct option: B

-1

Option B (-1) is correct because after solving the differential equation and using the given condition, the value of f(2)-2f(0) is -1.

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