Solve the Differential Equation $y ^ { \prime } e ^ { 6 x } + 6 y e ^ { 6 x } = 4 x$

question 65

Multiple Choice

Solve the differential equation.
- $y ^ { \prime } e ^ { 6 x } + 6 y e ^ { 6 x } = 4 x$

• A) \(y = 4 x ^ { 2 } e ^ { - 6 x } + C e ^ { - 6 x }\)
• B) \(y = 2 x ^ { 2 } e ^ { - 6 x } + C e ^ { - 6 x }\)
• C) \(y = 2 x ^ { 2 } e ^ { 6 x } + C e ^ { 6 x }\)
• D) \(y = 4 x ^ { 2 } e ^ { 6 x } + C e ^ { 6 x }\)

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Core Job Characteristics

Fundamental attributes of a job that affect an employee's motivation and satisfaction, such as skill variety and task significance.

Vertical Loading

The practice of increasing an employee's responsibilities and the scope of their job, often to enhance motivation and job satisfaction.

Self-Actualization Needs

The highest level in Maslow's hierarchy of needs, referring to the realization of a person's potential, self-fulfillment, seeking personal growth and peak experiences.

Esteem Needs

A concept in psychology that refers to the human desire for respect, self-esteem, and recognition from others, being part of Maslow's hierarchy of needs.