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The Solution Of y′′+y=tan⁡xy ^ { \prime \prime } + y = \tan x

Question 48

Multiple Choice

The solution of y′′+y=tan⁡xy ^ { \prime \prime } + y = \tan x is


A) y=c1cos⁡x+c2sin⁡x+cos⁡xln⁡∣sec⁡x+tan⁡x∣y = c _ { 1 } \cos x + c _ { 2 } \sin x + \cos x \ln | \sec x + \tan x |
B) y=c1cos⁡x+c2sin⁡x−cos⁡xln⁡∣sec⁡x+tan⁡x∣y = c _ { 1 } \cos x + c _ { 2 } \sin x - \cos x \ln | \sec x + \tan x |
C) y=c1cos⁡x+c2sin⁡x+cos⁡xln⁡∣sec⁡x∣y = c _ { 1 } \cos x + c _ { 2 } \sin x + \cos x \ln | \sec x |
D) y=c1cos⁡x+c2sin⁡x−cos⁡xln⁡∣tan⁡x∣y = c _ { 1 } \cos x + c _ { 2 } \sin x - \cos x \ln | \tan x |
E) y=c1cos⁡x+c2sin⁡x−cos⁡xln⁡∣sec⁡x−tan⁡x∣y = c _ { 1 } \cos x + c _ { 2 } \sin x - \cos x \ln | \sec x - \tan x |

Correct Answer:

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