What is the solution for 2(dy)/(dx)=xy(x+1) ?

The solution for 2(dy)/(dx)=xy(x+1) is y=e^{(x^3)/6+(x^2)/4+c_{1}}

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2(dy)/(dx)=xy(x+1)

2 \frac{d y}{d x} = x y (x + 1)

y = e^{\frac{x ^{3}}{6} + \frac{x ^{2}}{4} + c_{1}}

Solution steps

2 \frac{d y}{d x} = x y (x + 1)

Solve separable ODE:

y = e^{\frac{x ^{3}}{6} + \frac{x ^{2}}{4} + c_{1}}

y = e^{\frac{x ^{3}}{6} + \frac{x ^{2}}{4} + c_{1}}

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What is the solution for 2(dy)/(dx)=xy(x+1) ?
The solution for 2(dy)/(dx)=xy(x+1) is y=e^{(x^3)/6+(x^2)/4+c_{1}}