What is the solution for (dy)/(dx)+2xy=y+4x-2 ?

The solution for (dy)/(dx)+2xy=y+4x-2 is y=e^{x-x^2+c_{1}}+2

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(dy)/(dx)+2xy=y+4x-2

\frac{d y}{d x} + 2 x y = y + 4 x - 2

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

Solution steps

\frac{d y}{d x} + 2 x y = y + 4 x - 2

Solve separable ODE:

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

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

\frac{d}{d x} ((4 x^{3} + 5)^{\frac{3}{2}})

\frac{\partial}{\partial x} (\frac{x ^{2} - 1}{y})

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

\int - 32 x + 12 d x

y^{^{''}} + y = 2 x cos (x)

What is the solution for (dy)/(dx)+2xy=y+4x-2 ?
The solution for (dy)/(dx)+2xy=y+4x-2 is y=e^{x-x^2+c_{1}}+2