What is the solution for y^'=y(xy^3+1) ?

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

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y^'=y(xy^3+1)

y^{^{'}} = y (x y^{3} + 1)

Solution steps

y^{'} (x) = y (x y^{3} + 1)

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