What is the solution for (1-2/y+x)(dy)/(dx)+y=2x-1 ?

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

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(1-2/y+x)(dy)/(dx)+y=2x-1

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

y = \frac{2 W ( \frac{- x - 1}{2 e ^{\frac{x ^{2} - x + c _{1}}{2}}} )}{- x - 1}

Solution steps

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

Solve exact ODE:

y = \frac{2 W ( \frac{- x - 1}{2 e ^{\frac{x ^{2} - x + c _{1}}{2}}} )}{- x - 1}

y = \frac{2 W ( \frac{- x - 1}{2 e ^{\frac{x ^{2} - x + c _{1}}{2}}} )}{- x - 1}

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