What is the solution for (dy)/(dx)=(ycos(x))/(1-2y) ?

The solution for (dy)/(dx)=(ycos(x))/(1-2y) is y=-(\W(-2/(e^{-sin(x)-c_{1)}}))/2

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(dy)/(dx)=(ycos(x))/(1-2y)

\frac{d y}{d x} = \frac{y cos ( x )}{1 - 2 y}

y = - \frac{W ( - \frac{2}{e ^{- s i n (x) - c_{1}}} )}{2}

Solution steps

\frac{d y}{d x} = \frac{y cos ( x )}{1 - 2 y}

Solve separable ODE:

y = - \frac{W ( - \frac{2}{e ^{- s i n (x) - c_{1}}} )}{2}

y = - \frac{W ( - \frac{2}{e ^{- s i n (x) - c_{1}}} )}{2}

\frac{d}{d x} (12)

\frac{d}{d x} (x ln (cos (x)))

x \to + 0 lim (\frac{2 ( y + x ) - 2 y}{x})

x \to \infty lim (\frac{x}{x})

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

What is the solution for (dy)/(dx)=(ycos(x))/(1-2y) ?
The solution for (dy)/(dx)=(ycos(x))/(1-2y) is y=-(\W(-2/(e^{-sin(x)-c_{1)}}))/2