Solve the Differential Equation Using the Method of Variation of Parameters

question 52

Multiple Choice

Solve the differential equation using the method of variation of parameters. $$y ^ { tt } - 4 y ^ {t } + 3 y = 2 \sin x$$

• A) \(y ( x ) = c _ { 1 } e ^ { 3 x } + c _ { 2 } e ^ { x } + \frac { 1 } { 5 } \sin x\)
• B) \(y ( x ) = c _ { 1 } e ^ { 3 x } + c _ { 2 } e ^ { x } + \frac { 2 } { 5 } \cos x + \frac { 1 } { 5 } \sin x\)
• C) \(y ( x ) = c _ { 1 } \sin x + \frac { c _ { 2 } } { 5 } x + \frac { 1 } { 5 } \sin x\)
• D) \(y ( x ) = c _ { 1 } \sin 3 x + \frac { c _ { 2 } } { 4 } x + \cos 3 x\)
• E) \(y ( x ) = c _ { 1 } e ^ { 3 x } + c _ { 2 } e ^ { x } + \frac { 2 } { 5 } \sin x\)

Comprehend the factors influencing ethical managerial behavior, including personal, organizational, and external factors.

Recognize the stages of moral development according to Kohlberg and their implications on ethical leadership.

Acknowledge the impact of laws, regulations, and organizational culture on ethical behavior.

Understand the definitions and differences between moral, amoral, and immoral managers.

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Definitions:

Motor Control

The method through which humans and animals employ their brain and nervous system to initiate and manage the movements and limbs necessary for executing a motor skill.

Enteric Nervous System

A subdivision of the autonomic nervous system that directly controls the gastrointestinal system.

Symmetry

Symmetry refers to a balance or congruence in dimensions, shape, and arrangement of parts on opposite sides of a boundary or through a central axis, which can be observed in physical objects, organisms, and designs.

Asymmetry

The lack of equality or equivalence between parts or aspects of something; not symmetrical.