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

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

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

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

y = 2 arctan (e^{x + c_{1}}) + 2 πn

Solution steps

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

Solve separable ODE:

y = 2 arctan (e^{x + c_{1}}) + 2 πn

y = 2 arctan (e^{x + c_{1}}) + 2 πn

\frac{d y}{d x} = (3 + y) (e^{x + 3} + x^{2})

x^{2} \frac{d y}{d x} + x y - x = 0

\frac{d y}{d x} = - (3 + y)

y^{5} \frac{d y}{d x} = 4 x^{2} y^{6} - 12 x^{2}

y^{^{'}} - 3 x y^{2} = 2 x

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