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

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

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

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

y = - e^{- \frac{x ^{2}}{2} + x - c_{1}} + 1

Solution steps

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

Solve separable ODE:

y = - e^{- \frac{x ^{2}}{2} + x - c_{1}} + 1

y = - e^{- \frac{x ^{2}}{2} + x - c_{1}} + 1

y^{^{''}} - 8 y^{^{'}} + 9 y = 0, y (0) = 0, y^{^{'}} (0) = 9

\frac{\partial}{\partial x} (x^{- 3})

x \to - 1 lim (4 x^{2} - 8 x + 3)

\int e^{- x} cos (3 x) d x

7 t \cdot \frac{d y}{d t} - y = t

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