What is the solution for (dx)/(dt)=sin(x) ?

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

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(dx)/(dt)=sin(x)

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

x = 2 arctan (e^{t + c_{1}}) + 2 πn

Solution steps

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

Solve separable ODE:

x = 2 arctan (e^{t + c_{1}}) + 2 πn

x = 2 arctan (e^{t + c_{1}}) + 2 πn

\int e^{\frac{x}{16}} d x

\int x^{2} (x - 7) d x

\int x (2 x^{2} + 1)^{6} d x

t + 1

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