Consider the Differential Equation $y ^ { \prime \prime } + \lambda y = 0$

Multiple Choice

Consider the differential equation $y ^ { \prime \prime } + \lambda y = 0$ . Examples of boundary conditions for this equation that make a regular Sturm-Liouville problem are Select all that apply.

A) $y ( 0 ) = 0 , y ( 1 ) = 0$
B) $y ( 0 ) = 0 , y ^ { \prime } ( 1 ) = 0$
C) $y ( 0 ) = 0 , y ^ { \prime } ( 0 ) = 0$
D) $y ^ { \prime } ( 0 ) = 0 , y ( 1 ) + y ^ { \prime } ( 1 ) = 0$
E) $y ( 0 ) + y ( 1 ) = 0 , y ^ { \prime } ( 1 ) = 0$