Using the result of Exercise 5.5.11, prove the following part of the Fredholm
Chapter 5, Problem 5.5.13(choose chapter or problem)
Using the result of Exercise 5.5.11, prove the following part of the Fredholm alternative (for operators that are not necessarily self-adjoint): A solution of L(u) = f(x) subject to homogeneous boundary conditions may exist only if f(x) is orthogonal to all solutions of the homogeneous adjoint problem.
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