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

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

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(dy)/(dx)=xsin(y)

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

y = 2 arctan (e^{\frac{x ^{2}}{2} + c_{1}}) + 2 πn

Solution steps

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

Solve separable ODE:

y = 2 arctan (e^{\frac{x ^{2}}{2} + c_{1}}) + 2 πn

y = 2 arctan (e^{\frac{x ^{2}}{2} + c_{1}}) + 2 πn

(1 + y^{2}) cos (x) d x - 1 x d y = 0, y (0) = \frac{π}{4}

\frac{d y}{d x} = e^{x - y}, y (0) = ln (6)

x y + (10 x y + x) y^{^{'}} = 0

\frac{d y}{d t} = 9 t sin^{2} (y), y (- 2) = \frac{π}{4}

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

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