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

question 31

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

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