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) $y ( 0 ) + y ( 1 ) = 0 , y ^ { \prime } ( 1 ) = 0$

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The Answer of 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) $y ( 0 ) + y ( 1 ) = 0 , y ^ { \prime } ( 1 ) = 0$

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

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