What is the solution for csc(y)dy+sec^2(x)dx=0 ?

The solution for csc(y)dy+sec^2(x)dx=0 is y=2arctan(e^{-tan(x)+c_{1}})+2pin

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csc(y)dy+sec^2(x)dx=0

csc (y) d y + sec^{2} (x) d x = 0

y = 2 arctan (e^{- t a n (x) + c_{1}}) + 2 πn

Solution steps

csc (y) d y + sec^{2} (x) d x = 0

Solve separable ODE:

y = 2 arctan (e^{- t a n (x) + c_{1}}) + 2 πn

y = 2 arctan (e^{- t a n (x) + c_{1}}) + 2 πn

What is the solution for csc(y)dy+sec^2(x)dx=0 ?
The solution for csc(y)dy+sec^2(x)dx=0 is y=2arctan(e^{-tan(x)+c_{1}})+2pin