a. (14 Marks] Find the eigenvalues and eigenfunctions of the following periodic Sturm-Liouville system y" +2y= 0;3(-2) = 4(2),y(-2) = y(2). b. [2 Marks ] Find the multiplicity of the eigenfunctions obtained in part (a). 5. [20 Marks ] Diffusions of charges in a transistor is given by h = k(hxx-2h) h(0, 1) = 0; }(L, 1) = 0) 120 K(x:0) = (1 - e22(1-2)) for 0