What is the solution for (dy)/(dx)=e^{-y}cos(x) ?

The solution for (dy)/(dx)=e^{-y}cos(x) is y=ln(sin(x)+c_{1})

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(dy)/(dx)=e^{-y}cos(x)

\frac{d y}{d x} = e^{- y} cos (x)

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

Solution steps

\frac{d y}{d x} = e^{- y} cos (x)

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

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

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What is the solution for (dy)/(dx)=e^{-y}cos(x) ?
The solution for (dy)/(dx)=e^{-y}cos(x) is y=ln(sin(x)+c_{1})