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(a) Derive the eigenvalues and normalized eigenfunctions of the SLBV problem L[y]=-y= y, y(0)+ y'(0)= 0, y(t)=0,05XSA (b) Is i = 0 an eigenvalue? Explain.
(a) Derive the eigenvalues and normalized eigenfunctions of the SLBV problem L[y]=-y"= y, y(0)+ y'(0)= 0, y(t)=0,05XSA (b) Is i = 0 an eigenvalue? Explain. (c) Using the eigenvalues and eigenfunctions of (a), solve the nonhomogeneous SLDE L[y]=- y" = 3y +e", y(0) + y'(0) = 0, y(t)=0,0
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