Question: Consider the eigenvalue problem y'' + y = 0, y(0) = 0, y' (1) = 0 (a) Find all eigenvalues and corresponding eigenfunctions y(x) for

Consider the eigenvalue problem y'' + y = 0, y(0) = 0, y' (1) = 0

(a) Find all eigenvalues and corresponding eigenfunctions y(x) for the case > 0. (Note that the boundary condition at x = 1 involves the derivative of y(x).)

(b) Determine whether = 0 is an eigenvalue.

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