The Solution of the Eigenvalue Problem $y ^ { \prime \prime } + \lambda y = 0 , y ^ { \prime } ( 0 ) = 0 , y ( 1 ) = 0$

question 40

Multiple Choice

The solution of the eigenvalue problem $y ^ { \prime \prime } + \lambda y = 0 , y ^ { \prime } ( 0 ) = 0 , y ( 1 ) = 0$ is

• A) \(\lambda = n ^ { 2 } \pi ^ { 2 } / 4 , y = \cos ( n \pi x / 2 ) , n = 1,2,3 , \ldots\)
• B) \(\lambda = n \pi / 2 , y = \cos ( n \pi x / 2 ) , n = 1,2,3 , \ldots\)
• C) \(\lambda = n ^ { 2 } \pi ^ { 2 } / 4 , y = \sin ( n \pi x / 2 ) , n = 1,2,3 , \ldots\)
• D) \(\lambda = ( 2 n - 1 ) \pi / 2 , y = \cos ( ( 2 n - 1 ) \pi x / 2 ) , n = 1,2,3 , \ldots\)
• E) \(\lambda = ( 2 n - 1 ) ^ { 2 } \pi ^ { 2 } / 4 , y = \cos ( ( 2 n - 1 ) \pi x / 2 ) , n = 1,2,3 , \ldots\)

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Definitions:

Differentiation

In organizational context, it refers to the process of making a product or service distinct from competitors in the eyes of customers through unique features, quality, or brand identity.

Standardization

The process of establishing and applying norms to ensure consistency and uniformity in processes or products.

Vertical Differentiation

The organization of hierarchical levels within an organization or structure, often determining authority, responsibility, and communication flow.

Span of Control

The number of subordinates that a manager or supervisor can effectively oversee, manage, or control directly.