The Solution of the Eigenvalue Problem from the Previous Problem $\lambda = n \pi / L , X ( x ) = \sin ( n \pi x / L ) , n = 1,2,3 , \ldots$

question 23

Multiple Choice

The solution of the eigenvalue problem from the previous problem is

• A) \(\lambda = n \pi / L , X ( x ) = \sin ( n \pi x / L ) , n = 1,2,3 , \ldots\)
• B) \(\lambda = n \pi / L , X ( x ) = \cos ( n \pi x / L ) , n = 0,1,2 , \ldots\)
• C) \(\lambda = ( n - 1 / 2 ) \pi / L , X ( x ) = \sin ( ( n - 1 / 2 ) \pi x / L ) , n = 1,2,3 , \ldots\)
• D) \(\lambda = ( ( n - 1 / 2 ) \pi / L ) ^ { 2 } , X ( x ) = \sin ( ( n - 1 / 2 ) \pi x / L ) , n = 1,2,3 , \ldots\)
• E) \(\lambda = ( ( n - 1 / 2 ) \pi / L ) ^ { 2 } , X ( x ) = \cos ( ( n - 1 / 2 ) \pi x / L ) , n = 1,2,3 , \ldots\)

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Definitions:

Contractionary Gap

A situation where the real GDP is lower than the potential GDP at full employment, indicating underutilized economic resources.

Expansionary Gap

An economic situation where the actual output exceeds the potential output, often leading to inflation.

Nominal Value of Output

The gross value of all goods and services produced, measured using current prices without adjusting for inflation.

Money Supply

The total amount of monetary assets available in an economy, including cash and deposits.