The Solution Of $y ^ { \prime \prime } - n ^ { 2 } n ^ { 2 } y = 0 , y ( 0 ) = 0 , y ( 1 ) = 0 , n = 1,2,3 \ldots$

question 25

Multiple Choice

The solution of $y ^ { \prime \prime } - n ^ { 2 } n ^ { 2 } y = 0 , y ( 0 ) = 0 , y ( 1 ) = 0 , n = 1,2,3 \ldots$ is

• A) \(y = 0\)
• B) \(y = c \cdot \sin ( n \pi x )\)
• C) \(y = c \cdot \cos ( n \pi x )\)
• D) \(c \left( e ^ { n xt } - e ^ { - nxt } \right)\)
• E) \(c \left( e ^ { n xt } + e ^ { - nxt } \right)\)

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