Question: Convert the following boundary value problem into a Fredholm integral equation: (y^{prime prime}(x)+y(x)=x), for (x in(0,1)), subject to the boundary conditions (y(0)=1) and (y(1)=0).

Convert the following boundary value problem into a Fredholm integral equation: $y^{\prime \prime}(x)+y(x)=x$, for $x \in(0,1)$, subject to the boundary conditions $y(0)=1$ and $y(1)=0$.

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