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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

y^{^{'}} - a^{2} y = 0

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

\frac{d y}{d x} = x (1 + y)^{2}

\frac{d y}{d x} = \frac{x ln ( x )}{y ^{2}}

\frac{d y}{d x} = \frac{sin ( x )}{sin ( y )}

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