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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