Solve the Initial Value Problem $$\frac { d y } { d x } = \frac { 1 } { ( 2 + x ) ^ { 2 } } , y ( 0 ) = 2$$

question 74

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } = \frac { 1 } { ( 2 + x ) ^ { 2 } } , y ( 0 ) = 2$$

• A) \(y = \frac { 1 } { 2 + x } + \frac { 3 } { 2 }\)
• B) \(y = \frac { 1 } { 2 + x } + 2\)
• C) \(y = - \frac { 1 } { 2 + x } + \frac { 5 } { 2 }\)
• D) \(y = - \frac { 1 } { 2 + x } + 2\)

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Definitions:

Conscientiousness

A personality trait characterized by organization, dependability, discipline, and a strong sense of duty.

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A personality trait that is characterized by sociability, talkativeness, assertiveness, and a high level of energy when interacting with others.

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MARS Model

A framework that outlines the four factors necessary for successful employee performance: Motivation, Ability, Role perceptions, and Situational factors.