Q. Determine the value of f(1).

Calculus Level 2

The given f(x)f(x) is a real function that is differentiable and satisfies f(x)+f(x)=xexf(x) + f'(x) = xe^{-x} for all values of real xx. It is also given that f(0)=0f(0) = 0. Find f(1)f(1).

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