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) \cdot cos (x)

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

Solution steps

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

(2 x + 3) y^{^{'}} = x y (2 x + 3)^{\frac{1}{2}}

1 + y^{2} - x y^{^{'}} = 0

e \frac{1}{x} \frac{d y}{d x} + 4 y = 2

y^{^{'}} = \frac{3 x}{y} 1 + y^{2}

\frac{d v}{d t} = 2 v^{2} - \frac{1}{2}

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