What is the solution for (dx)/(dy)=tan(x) ?

The solution for (dx)/(dy)=tan(x) is x=arcsin(e^{y+c_{1}})+2pin,x=pi+arcsin(-e^{y+c_{1}})+2pin

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(dx)/(dy)=tan(x)

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

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

Solution steps

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

Solve separable ODE:

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

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

y^{^{'}} = \frac{e ^{- x}}{sin ( y )}, y (0) = 1

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

y^{^{'}} = x^{2} y^{- 3}, y (0) = 4

\frac{d y}{d x} y = x^{6} sin (x)

y^{^{'}} + 8 y = 32

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