What is the solution for xy-2y+xy^'-y^'=0 ?

The solution for xy-2y+xy^'-y^'=0 is y=e^{-x+1+c_{1}}x-e^{-x+1+c_{1}}

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xy-2y+xy^'-y^'=0

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

y = e^{- x + 1 + c_{1}} x - e^{- x + 1 + c_{1}}

Solution steps

x y - 2 y + x y^{'} (x) - y^{'} (x) = 0

Solve separable ODE:

y = e^{- x + 1 + c_{1}} x - e^{- x + 1 + c_{1}}

y = e^{- x + 1 + c_{1}} x - e^{- x + 1 + c_{1}}

(4, - 1), (- 9, - 10)

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x \to 49 lim (x^{\frac{3}{2}})

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What is the solution for xy-2y+xy^'-y^'=0 ?
The solution for xy-2y+xy^'-y^'=0 is y=e^{-x+1+c_{1}}x-e^{-x+1+c_{1}}