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

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

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(dy)/(dx)=(1-y)cos(x)

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

y = - e^{- s i n (x) - c_{1}} + 1

Solution steps

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

Solve separable ODE:

y = - e^{- s i n (x) - c_{1}} + 1

y = - e^{- s i n (x) - c_{1}} + 1

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

\int \frac{28 x ^{3} - 56 x ^{2} + 3}{x ^{2} - 2 x} d x

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