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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(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

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