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Solution of differential equation (dy...

Solution of differential equation
`(dy)/(dx)=sin (x+y)+cos(x+y)` is equal to

A

`log (2+ "sec" (x+y)/(2))=x + C`

B

`log (1+ tan (x+y))= x + C`

C

`log (1+ "tan" (x+y)/(2))=y +C`

D

`log (1+ "tan " (x+y)/(2))=x +C`

Text Solution

Verified by Experts

The correct Answer is:
D
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