In the Previous Problem, the Solution of the Eigenvalue Problem $\lambda = n ^ { 2 } , R = r ^ { n } , n = 0,1,2 , \ldots$

question 1

Multiple Choice

In the previous problem, the solution of the eigenvalue problem is

• A) \(\lambda = n ^ { 2 } , R = r ^ { n } , n = 0,1,2 , \ldots\)
• B) \(\lambda = n , R = r ^ { n } , n = 0,1,2 , \ldots\)
• C) \(\lambda = n , \Theta = c _ { n } \cos ( n \theta ) + d _ { n } \sin ( n \theta ) , n = 0,1,2 , .\)
• D) \(\lambda = n ^ { 2 } , \Theta = d _ { n } \sin ( n \theta ) , n = 1,2,3 , .\)
• E) \(\lambda = n ^ { 2 } , \Theta = c _ { n } \cos ( n \theta ) , n = 0,1,2 , \ldots\)

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Definitions:

Saltatory Conduction

The jumping of action potentials from node to node along a myelinated neuron, allowing for faster neural transmission.

Gray Matter

Brain tissue comprising neuron cell bodies, dendrites, and unmyelinated axons, involved in muscle control and sensory perception.

White Matter

Tissue in the brain and spinal cord made up of nerve fibers, which is responsible for transmitting signals between different areas of the central nervous system.

Myelinated Axons

Axons that are covered by a fatty sheath called myelin, which increases the speed of electrical impulses along nerve cells.