Consider the Sturm-Liouville problem y" + 2y + 0, y(0) 0, y(1) 0. (a) Examine all possible cases and subcases for X in order to find the eigen values and eigen functions of this BVP. (b) Put the differential equation in self-adjoint form. (c) Give an orthogonality relation for the eigenfunctions. y"+2y+y=0, y=0, y (1)=0. m²+2m+9=0 m--214-41 6 m=-1±√4-47 Case 1: 2=0, y=0 m = -1 ± 9=1=3 -3x y=-3p+ Ge² y (o)=0=e²+C 2=0 y=ge+se=0