What is the solution for xcos(y)(dy)/(dx)-sin(y)=0 ?

The solution for xcos(y)(dy)/(dx)-sin(y)=0 is y=arcsin(c_{1}x)+2pin,y=pi+arcsin(-c_{1}x)+2pin

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xcos(y)(dy)/(dx)-sin(y)=0

x cos (y) \frac{d y}{d x} - sin (y) = 0

y = arcsin (c_{1} x) + 2 πn, y = π + arcsin (- c_{1} x) + 2 πn

Solution steps

x cos (y) \frac{d y}{d x} - sin (y) = 0

Solve separable ODE:

y = arcsin (c_{1} x) + 2 πn, y = π + arcsin (- c_{1} x) + 2 πn

y = arcsin (c_{1} x) + 2 πn, y = π + arcsin (- c_{1} x) + 2 πn

x^{(- 2)} y^{(- 5)} d x + x^{(- 3)} y^{(- 4)} d y = 0

y^{^{'}} + x - x^{2} \cdot y = x - x^{2}

y^{^{'}} x + 4 y = 1

\frac{d y}{d x} = 6 x^{3} y, y > 0

\frac{d y}{d t} = \frac{9 t ^{2}}{5 y}

What is the solution for xcos(y)(dy)/(dx)-sin(y)=0 ?
The solution for xcos(y)(dy)/(dx)-sin(y)=0 is y=arcsin(c_{1}x)+2pin,y=pi+arcsin(-c_{1}x)+2pin