Simple differential equation?

Calculus Level 5

If the solution of the equation

dydx=y+02ydx\large{\dfrac{dy}{dx}=y+\displaystyle \int^{2}_{0} y \, dx}

is y(x)y(x). And give that y(0)=1y(0) = 1 . Find the absolute value of y(2)\lceil y(2) \rceil .

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