Question

Find the characteristic values and characteristic functions of the following
Sturm-Liouville problem :-

$\quad \qquad { \bigstar { \underline { \boxed { \bf { \red { \dfrac{d²y}{dx²} + \lambda y = 0 }}}}}}{\bigstar}$

If given that ;

$\quad \leadsto \quad \sf y ( 0 ) = 0$

$\quad \leadsto \quad \sf y = \bigg( \dfrac{\pi}{2} \bigg) = 0$ ​

Answer 1

refer the above attachment

Answer 2

Answer:

Answer in the attachment