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

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

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(dy)/(dx)x=sec(y)

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

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

Solution steps

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

Solve separable ODE:

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

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

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