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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

(- 19.7, 10.5), (- 18.9, 3.4)

\frac{d}{d x} (cos (2 π x))

(0, - 9), (- 4, 0)

t^{6} e^{8 t}

f (x) = 3 e^{2 x}

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