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

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

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

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

y = e^{6 x + \frac{x ^{2}}{2} + c_{1}} - 1

Solution steps

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

Solve separable ODE:

y = e^{6 x + \frac{x ^{2}}{2} + c_{1}} - 1

y = e^{6 x + \frac{x ^{2}}{2} + c_{1}} - 1

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