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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

y = 3 x, [3, 7]

\int 34 arctan (x) d x

x \to 2 lim ((x + 2) \cdot (2 x - 1))

3 + \frac{1}{5} sin (3 π t)

ln (x + 1), 1

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