The eigenvalues An and the eigenfunctions y of the Sturm-Liouville problem y" + 9Xy = 0, 0 0 4 b) Ar (2n+1)7? Yn (2n+1)r2 An cos n> 0 144 4 Oo dn = ', Yn = An cos (), n > 0 2 d) (2n+1)*r? (2n+1)T2 n>...

Needed to be solve this multiple choice question correctly in 30 minutes and get the thumbs up please show neat and clean work please
0 4 b) Ar (2n+1)7? Yn (2n+1)r2 An cos n> 0 144 4 Oo dn = ', Yn = An cos (), n > 0 2 d) (2n+1)*r? (2n+1)T2 n> 0 , Yn = Bn sin e) None of these "/>
Extracted text: The eigenvalues An and the eigenfunctions y of the Sturm-Liouville problem y" + 9Xy = 0, 0 < x="">< 2,="" y'(0)="0," y(2)="0." are="" a)="" an="" (2n+1)="" r?="" yn="" (2n+1)t2="" an="" cos="" n=""> 0 4 b) Ar (2n+1)7? Yn (2n+1)r2 An cos n> 0 144 4 Oo dn = ', Yn = An cos (), n > 0 2 d) (2n+1)*r? (2n+1)T2 n> 0 , Yn = Bn sin e) None of these