What is the solution for (dy)/(dx)=xy+9x+2y+18 ?

The solution for (dy)/(dx)=xy+9x+2y+18 is y=e^{(x^2)/2+2x+c_{1}}-9

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(dy)/(dx)=xy+9x+2y+18

\frac{d y}{d x} = x y + 9 x + 2 y + 18

y = e^{\frac{x ^{2}}{2} + 2 x + c_{1}} - 9

Solution steps

\frac{d y}{d x} = x y + 9 x + 2 y + 18

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + 2 x + c_{1}} - 9

y = e^{\frac{x ^{2}}{2} + 2 x + c_{1}} - 9

36 y^{^{''}} - 60 y^{^{'}} + 26 y = 0, y (4) = 2, y^{^{'}} (4) = 5

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

\int 250 (e^{- 0.2 x} - 1) d x

\frac{d}{d x} (\frac{x}{( x ^{2} + y ^{2} )})

(x + 2)^{\frac{1}{2}}

What is the solution for (dy)/(dx)=xy+9x+2y+18 ?
The solution for (dy)/(dx)=xy+9x+2y+18 is y=e^{(x^2)/2+2x+c_{1}}-9