Question: Given the Fredholm integral equation (u(x)=x+lambda int_{0}^{1}(x y) u(y) d y), solve this equation using (i) the successive approximation method, (ii) a Neumann series, and

Given the Fredholm integral equation $u(x)=x+\lambda \int_{0}^{1}(x y) u(y) d y$, solve this equation using (i) the successive approximation method, (ii) a Neumann series, and (iii) the resolvent method.

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