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

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

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sin(x)sec(y)dx=dy

sin (x) sec (y) d x = d y

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

Solution steps

sin (x) sec (y) d x = d y

Solve separable ODE:

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

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

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\int \frac{x}{4 - x} d x

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