Solve the Differential Equation $y ^ { \prime } + y \tan x = \cos x , - \pi / 2 < x < \pi / 2$

question 1

Multiple Choice

Solve the differential equation.
- $y ^ { \prime } + y \tan x = \cos x , - \pi / 2 < x < \pi / 2$

• A) \(y = x \sin x + C \sin x , - \pi / 2 < x < \pi / 2\)
• B) \(y = x \cos x + C \cos x , - \pi / 2 < x < \pi / 2\)
• C) \(y = x \sin x + C \cos x , - \pi / 2 < x < \pi / 2\)
• D) \(y = x \cos x + C \sin x , - \pi / 2 < x < \pi / 2\)

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Definitions:

Vroom-Jago Leadership Model

A decision-making framework that helps leaders choose the best leadership style based on the situation, emphasizing the degree of employee participation.

Fiedler Contingency

A leadership theory proposing that effective leadership is dependent on the match between a leader's style of interacting with subordinates and the degree to which the situation gives control and influence to the leader.

Vroom-Jago Leadership

A decision-making model that helps leaders choose the best course of action based on the situation's attributes.

Sequential Decisions

A process in decision-making where each decision is made one after another, often based on the outcomes of previous choices.