What is the solution for cos^2(x)y^'=e^{-y}sin(x) ?

The solution for cos^2(x)y^'=e^{-y}sin(x) is y=ln(sec(x)+c_{1})

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cos^2(x)y^'=e^{-y}sin(x)

cos^{2} (x) y^{^{'}} = e^{- y} sin (x)

y = ln (sec (x) + c_{1})

Solution steps

cos^{2} (x) y^{'} (x) = e^{- y} sin (x)

Solve separable ODE:

y = ln (sec (x) + c_{1})

y = ln (sec (x) + c_{1})

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What is the solution for cos^2(x)y^'=e^{-y}sin(x) ?
The solution for cos^2(x)y^'=e^{-y}sin(x) is y=ln(sec(x)+c_{1})