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

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

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(dy)/(dx)=cos(x)(2-y)

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d y}{d t} = \frac{t}{y}

\frac{d y}{d x} = \frac{x - 2}{2 y ^{2}}

\frac{d y}{d x} = \frac{2 x}{y}

\frac{d y}{d x} - x^{2} y^{2} = x^{2}

y^{^{'}} = \frac{sin ( x )}{y}

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