Use Integration to Find a General Solution of the Differential $\frac { d y } { d x } = x \sqrt { x + 2 }$

question 42

Multiple Choice

Use integration to find a general solution of the differential equation. $\frac { d y } { d x } = x \sqrt { x + 2 }$

• A) \(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 3 / 2 } - \frac { 4 } { 3 } ( x + 2 ) ^ { 5 / 2 } + C\)
• B) \(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 3 / 2 } - ( x + 2 ) ^ { 3 / 2 } + C\)
• C) \(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 5 / 2 } - \frac { 4 } { 3 } ( x + 2 ) ^ { 3 / 2 } + C\)
• D) \(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 3 / 2 } + \frac { 4 } { 3 } ( x + 2 ) ^ { 5 / 2 } + C\)
• E)\(y = \frac { 2 } { 5 } ( x + 2 ) ^ { 2 } - \frac { 4 } { 3 } ( x + 2 ) + C\)

Recognize the role of obsessive-compulsive behaviors in obsessive-compulsive disorder (OCD).

Familiarize with historical and alternative names for specific disorders.

Identify and understand the concept of stress and its sources.

Recognize the physical and psychological effects of stress on the human body.

---

Definitions:

Dreaming

The experience of imagined images, sounds, or other sensations during sleep, particularly during REM phases, reflecting complex psychological processes.

Tropical Climates

Climate zones characterized by consistently high temperatures throughout the year, with significant rainfall. They are typically found near the equator.

Sleep Paralysis

A temporary inability to move or speak while falling asleep or upon waking, often accompanied by hallucinations.

Co-Sleeping

A practice where parents and infants sleep in close physical proximity to each other, typically in the same bed or room.