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

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

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

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

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

Solution steps

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

Solve using substitution:

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

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

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