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

\int 5 x ln (x) d x

t an g e n t f (x) = - \frac{1}{x}, at x = 3

x \to - 4 lim (- x^{2} + 6 x - 8)

\frac{d}{d x} (\frac{x}{x - 8})

\frac{d}{d t} (4 cos (2 t))

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