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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

7 x^{2}, at x = 10

y^{^{''}} + 4 y^{^{'}} + 4 y = 6 e^{- 2 x}

\int 20 x^{4} d x

f^{^{''}} (x) = 7 e^{- x} - 8 e^{- 7 x}

\int 3 arcsin (3 x) d x

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