What is the solution for (dy)/(dx)=(y(xy^3-1)) ?

The solution for (dy)/(dx)=(y(xy^3-1)) is y=\sqrt[3]{3/(3x+1+3c_{1)e^{3x}}}

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(dy)/(dx)=(y(xy^3-1))

\frac{d y}{d x} = (y (x y^{3} - 1))

Solution steps

\frac{d y}{d x} = (y (x y^{3} - 1))

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