In problem the eigenvalues and eigenfunctions of the boundary value problem y ' ' y 0, y '(0) 0, y '() 0 are n n 2 , n 0, 1, 2, , and y cos nx, respectively Fill in the blanks A solution of the BVP when 8 is y because

Question: In problem the eigenvalues and eigenfunctions of the boundary-value problem y'' + y = 0, y'(0) = 0, y'() = 0 are n =

In problem the eigenvalues and eigenfunctions of the boundary-value problem y'' + λy = 0, y'(0) = 0, y'(π) = 0 are λ_n = n², n = 0, 1, 2, . . . , and y = cos nx, respectively. Fill in the blanks.

A solution of the BVP when λ = 8 is y = ____ because _____.

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