The Solution Of $y ^ { \prime \prime } + y = \tan x$

question 23

Multiple Choice

The solution of $y ^ { \prime \prime } + y = \tan x$ is

• A) \(y = c _ { 1 } \cos x + c _ { 2 } \sin x + \cos x \ln | \sec x + \tan x |\)
• B) \(y = c _ { 1 } \cos x + c _ { 2 } \sin x - \cos x \ln | \sec x + \tan x |\)
• C) \(y = c _ { 1 } \cos x + c _ { 2 } \sin x + \cos x \ln | \sec x |\)
• D) \(y = c _ { 1 } \cos x + c _ { 2 } \sin x - \cos x \ln | \tan x |\)
• E) \(y = c _ { 1 } \cos x + c _ { 2 } \sin x - \cos x \ln | \sec x - \tan x |\)

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Definitions:

Matched Pair

A study design element where subjects are paired based on specific characteristics, ensuring that each pair is as similar as possible except for the variable under investigation.

Statistically Significant

A measure indicating that the likelihood of an observed outcome occurring by chance is low, often used in research to validate findings.

Negative Correlation

A connection between two variables where as one variable goes up, the other goes down, and the opposite is also true.

Positive

Refers to a condition or state that is constructive, optimistic, or characterized by a beneficial outcome.