What is the solution for sec(x)dy+csc(y)dx=0 ?

The solution for sec(x)dy+csc(y)dx=0 is y=arccos(sin(x)-c_{1})+2pin,y=-arccos(sin(x)-c_{1})+2pin

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sec(x)dy+csc(y)dx=0

sec (x) d y + csc (y) d x = 0

y = arccos (sin (x) - c_{1}) + 2 πn, y = - arccos (sin (x) - c_{1}) + 2 πn

Solution steps

sec (x) d y + csc (y) d x = 0

Solve separable ODE:

y = arccos (sin (x) - c_{1}) + 2 πn, y = - arccos (sin (x) - c_{1}) + 2 πn

y = arccos (sin (x) - c_{1}) + 2 πn, y = - arccos (sin (x) - c_{1}) + 2 πn

\frac{\partial}{\partial x} (ln (x^{4} + y))

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What is the solution for sec(x)dy+csc(y)dx=0 ?
The solution for sec(x)dy+csc(y)dx=0 is y=arccos(sin(x)-c_{1})+2pin,y=-arccos(sin(x)-c_{1})+2pin