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

question 6

Multiple Choice

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

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

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Definitions:

Unstated Belief

An implicit conviction or assumption that influences one's attitudes and behaviors without being directly expressed or acknowledged.

Rational Emotive Behavior Therapy

A form of cognitive-behavioral therapy that identifies and challenges irrational beliefs to alter dysfunctional emotions and behaviors.

Emotional Reaction

An individual's response to a specific stimulus or situation, often involving complex psychological and physiological processes.

Childhood Experiences

The collection of events, interactions, and relationships a person has during their early years of life, influencing their development and personality.