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Solution of the differential equation \[\frac{dy}{dx}\tan y=\sin (x+y)+\sin (x-y)\] is  [Kerala (Engg.) 2005]

A. \[\sec y+2\cos x=c\]
B. \[\sec y-2\cos x=c\]
C. \[\cos y-2\sin x=c\]
D. \[\tan y-2\sec y=c\]
E. \[\sec y+2\sin x=c\]
Answer» B. \[\sec y-2\cos x=c\]


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