$\text { Use } u ( x , y ) = x ^ { 4 } y \text { as a integrating factor to find the general solution of the }$

question 5

Multiple Choice

$\text { Use } u ( x , y ) = x ^ { 4 } y \text { as a integrating factor to find the general solution of the }$ differential equation $\left( 5 y ^ { 4 } + 8 x ^ { 3 } y \right) d x + \left( 5 x y ^ { 3 } + 2 x ^ { 4 } \right) d y = 0$

• A) \(x ^ { 4 } y ^ { 7 } + x ^ { 10 } y ^ { 2 } = C\)
• B) \(x ^ { 5 } y ^ { 5 } + x ^ { 8 } y ^ { 3 } = C\)
• C) \(x ^ { 5 } y ^ { 5 } + x ^ { 8 } y ^ { 2 } = C\)
• D) \(x ^ { 6 } y ^ { 4 } + x ^ { 9 } y ^ { 2 } = C\)
• E) \(x ^ { 6 } y ^ { 4 } + x ^ { 9 } y ^ { 3 } = C\)

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

---

Definitions:

Schizophrenic Disorder

A long-term mental disorder involving a breakdown in the relation between thought, emotion, and behavior, leading to faulty perception and inappropriate actions or feelings.

Psychological Disorder

A mental disorder characterized by patterns of thought, feeling, or behavior that are abnormal, distressing, and significant enough to interfere with one's daily functioning.

Personality Disorders

A class of mental disorders characterized by enduring maladaptive patterns of behavior, cognition, and inner experience, exhibited across many contexts and deviating markedly from those accepted by the individual's culture.

Extreme Characteristics

Traits or features that are significantly above or below the average or norm in any dimension such as physical, psychological, or behavioral.