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

question 82

Multiple Choice

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

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

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Definitions:

Data

Information collected for reference or analysis, which can be qualitative or quantitative in nature.

Null Hypothesis

A statement in hypothesis testing that there is no effect or no difference, and it is the hypothesis that researchers aim to test against.

Precision Instrument

A tool or device designed to measure or record quantities with high accuracy and minimal error.

Population Variance

The average of the squared differences from the Mean, representing the variance within a whole population.