What is the solution for e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0 ?

The solution for e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0 is y=ln(csc(x)+c_{1})

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e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0

e^{- y} cos (x) + \frac{d y}{d x} sin^{2} (x) = 0

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

Solution steps

e^{- y} cos (x) + \frac{d y}{d x} sin^{2} (x) = 0

Solve separable ODE:

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

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

\frac{d}{d x} (x^{4} (x + 2)^{3})

\frac{d}{d x} ((4 x - 3)^{2 x + 1})

\frac{x}{4}

x \to - 7 lim (\frac{x ^{2} - 9}{7 - x})

\int \frac{1}{x 4 x ^{2} - 1} d x

What is the solution for e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0 ?
The solution for e^{-y}cos(x)+(dy)/(dx)sin^2(x)=0 is y=ln(csc(x)+c_{1})