Solve the following differential equations: dy/dx + (cos x sin y)/cos y = 0

Question

Solve the following differential equations:

\(\frac{dy}{dx}+\frac{cos\, x\,sin\,y}{cos \,y}=0\)

Answer 1

Now separating variable x on one side and variable y on another side, we have

Integrating both sides using identities :

and