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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