Solve the Initial Value Problem for Y as a Function $$\sqrt { x ^ { 2 } - 4 } \frac { d y } { d x } = x , x > 2 , y ( 4 ) = 0$$

question 446

Multiple Choice

Solve the initial value problem for y as a function of x.
- $$\sqrt { x ^ { 2 } - 4 } \frac { d y } { d x } = x , x > 2 , y ( 4 ) = 0$$

• A) \(y = \sqrt { x ^ { 2 } - 4 } - 2 \sqrt { 3 }\)
• B) \(y = \sqrt { x ^ { 2 } - 4 }\)
• C) \(y = \frac { \sqrt { x ^ { 2 } - 4 } } { x }\)
• D) \(y = \frac { \sqrt { x ^ { 2 } - 4 } } { x } - \frac { \sqrt { 3 } } { 2 }\)

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Definitions:

Schizoid Personality Disorder

A personality disorder characterized by a lack of interest in social relationships, emotional coldness, and detachment.

Distrust

The feeling of suspicion or doubt about the reliability or trustworthiness of someone or something.

Paranoid Personality Disorder

A mental disorder characterized by pervasive distrust and suspicion of others' motives.

Cognitive-Behavioral Therapy

A therapeutic method designed to increase happiness and solve problems by reshaping unhealthy behaviors, emotions, and thoughts.