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Consider the problem du L(u) = + dx 2 (377) u = 8 + x with homogeneous Dirichlet boundary conditions on the interval [0,

Consider the problem du L(u) = + dx 2 (377) u = 8 + x with homogeneous Dirichlet boundary conditions on the interval [0, L]. Does L have a zero eigenvalue? If so, determine what value must be for the problem to have a solution.

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