The Eigenvalue Problem $y ^ { \prime \prime } + \lambda y = 0 , y ^ { \prime } ( 0 ) = 0 , y ^ { \prime } ( \pi / 2 ) = 0$

question 34

Multiple Choice

The eigenvalue problem $y ^ { \prime \prime } + \lambda y = 0 , y ^ { \prime } ( 0 ) = 0 , y ^ { \prime } ( \pi / 2 ) = 0$ has the solution

• A) \(y = \sin ( 2 n x ) , \lambda = 4 n ^ { 2 } , n = 1,2,3 , \ldots\)
• B) \(y = \cos ( 2 n x ) , \lambda = 4 n ^ { 2 } , n = 1,2,3 , \ldots\)
• C) \(y = \sin ( 2 n x ) , \lambda = 2 n , n = 1,2,3 , \ldots\)
• D) \(y = \cos ( 2 n x ) , \lambda = 2 n , n = 1,2,3 , \ldots\)
• E) none of the above

Choose vivid and exact words to complete sentences.

Distinguish between specific and general statements in sentence construction.

Understand the concept of conciseness and clarity in written communication.

Recognize dynamic and evolving aspects in descriptions.

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A business or individual that provides goods or services to another entity, playing a crucial role in the supply chain.

Mumbai Railway

The urban railway system in Mumbai, India, which is one of the busiest commuter rail systems in the world.

Transportation

The movement of goods and people from one location to another using various modes such as trucks, trains, ships, and airplanes.

Supply Chain

The entire system of producing and delivering a product or service, from the supplier of raw materials to the end customer.