The general solution of the differential...

The general solution of the differential equation `(dy)/(dx) + sin(x+y)/(2) = sin(x-y)/(2)` is

A

ln tan `((y)/(2))=c-2sinx`

B

ln tan `((y)/(4))=c-2sin((x)/(2))`

C

ln tan `((y)/(2)+(pi)/(4))=c-2`sin x

D

ln tan `((y)/(4)+(pi)/(4))=c-2sin((x)/(2))`

Verified by Experts

The correct Answer is:

B

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