Find the eigenvalues and eigenfunctions for the given boundary-value problem. Consider only the case = 4 , > 0. y (4)

Find the eigenvalues and eigenfunctions for the given boundary-value problem. Consider only the case λ = α⁴, α > 0.

y⁽⁴⁾ – λy = 0, y(0) = 0, y''(0) = 0, y(1) = 0, y''(1) = 0