What is the solution for (dy)/(dx)=xy-3x-2y+6 ?

The solution for (dy)/(dx)=xy-3x-2y+6 is y=e^{(x^2)/2-2x+c_{1}}+3

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(dy)/(dx)=xy-3x-2y+6

\frac{d y}{d x} = x y - 3 x - 2 y + 6

y = e^{\frac{x ^{2}}{2} - 2 x + c_{1}} + 3

Solution steps

\frac{d y}{d x} = x y - 3 x - 2 y + 6

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} - 2 x + c_{1}} + 3

y = e^{\frac{x ^{2}}{2} - 2 x + c_{1}} + 3

\frac{d}{d x} ((sin (x))^{x})

\int 5 x ln (x) d x

x \to 8 + lim (ln (x - 8))

x \to 5 lim (4 x + 5)

y = - t^{3}, (2, - 8)

What is the solution for (dy)/(dx)=xy-3x-2y+6 ?
The solution for (dy)/(dx)=xy-3x-2y+6 is y=e^{(x^2)/2-2x+c_{1}}+3