Solve the Initial-Value Problem $$y ^ { tt } + 81 y = 0 , y \left( \frac { \pi } { 9 } \right) = 0 , y ^ { t } \left( \frac { \pi } { 9 } \right) = 6$$

question 9

Short Answer

Solve the initial-value problem.
$$y ^ { tt } + 81 y = 0 , y \left( \frac { \pi } { 9 } \right) = 0 , y ^ { t } \left( \frac { \pi } { 9 } \right) = 6$$

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Definitions:

Obsessive-Compulsive Disorder

A mental health disorder characterized by recurrent, unwanted thoughts (obsessions) and/or repetitive behaviors (compulsions).

Thalamus

A brain structure that relays sensory messages to the cerebral cortex.

Amygdala

A brain structure involved in the arousal and regulation of emotion and the initial emotional response to sensory information.

Prefrontal Cortex

A part of the frontal lobes of the brain, involved in decision making, problem-solving, control of purposeful behaviors, consciousness, and emotions.