What is the solution for (dy)/(dx)=sin(x+y) ?

The solution for (dy)/(dx)=sin(x+y) is y=2arctan((-2-x-c_{1})/(x+c_{1)})+2pin-x

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(dy)/(dx)=sin(x+y)

\frac{d y}{d x} = sin (x + y)

y = 2 arctan (\frac{- 2 - x - c _{1}}{x + c _{1}}) + 2 πn - x

Solution steps

\frac{d y}{d x} = sin (x + y)

Solve using substitution:

y = 2 arctan (\frac{- 2 - x - c _{1}}{x + c _{1}}) + 2 πn - x

y = 2 arctan (\frac{- 2 - x - c _{1}}{x + c _{1}}) + 2 πn - x

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What is the solution for (dy)/(dx)=sin(x+y) ?
The solution for (dy)/(dx)=sin(x+y) is y=2arctan((-2-x-c_{1})/(x+c_{1)})+2pin-x