What is the solution for (dy)/(dx)=sin(y)+1 ?

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

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(dy)/(dx)=sin(y)+1

\frac{d y}{d x} = sin (y) + 1

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

Solution steps

\frac{d y}{d x} = sin (y) + 1

Solve separable ODE:

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

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

\frac{d}{d x} (x^{3 c o s (x)})

f (x) = 7 x

\frac{\partial}{\partial x} (x^{2} + 2 x + y^{2})

f (x) = 4 x^{2} - x^{3}

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