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

The solution for xy^'-2y=2x^2-2x-2 is y=2x^2ln(x)+2x+1+c_{1}x^2

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xy^'-2y=2x^2-2x-2

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

y = 2 x^{2} ln (x) + 2 x + 1 + c_{1} x^{2}

Solution steps

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

Solve linear ODE:

y = 2 x^{2} ln (x) + 2 x + 1 + c_{1} x^{2}

y = 2 x^{2} ln (x) + 2 x + 1 + c_{1} x^{2}

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