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

The solution for (dx)/(dt)=sin(pix) is x=(2arctan(e^{pit+c_{1}}))/pi+2n

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(dx)/(dt)=sin(pix)

\frac{d x}{d t} = sin (π x)

x = \frac{2 arctan ( e ^{π t + c_{1}} )}{π} + 2 n

Solution steps

\frac{d x}{d t} = sin (π x)

Solve separable ODE:

x = \frac{2 arctan ( e ^{π t + c_{1}} )}{π} + 2 n

x = \frac{2 arctan ( e ^{π t + c_{1}} )}{π} + 2 n

\frac{d}{d x} (ln (x^{2} + y^{2} + 1))

x \to \infty + lim (\frac{( 5 x ^{3} + 7 x ^{2} - 8 x + 9 )}{11 x ^{2} + 7 x - 6})

\int sin^{4} (7 x) d x

\frac{1}{( s - 5 ) ^{2}}

\frac{d}{d x} (x 1 + x^{2})

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