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Let f is a differentiable function such ...

Let f is a differentiable function such that `f'(x) = f(x) + int_(0)^(2) f(x) dx, f(0) = (4-e^(2))/(3)`, find f(x).

Text Solution

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The correct Answer is:
`f(x) = e^(x) - ((e^(2)-1))/(3)`
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