What is the solution for x*y^2*y^'=x^3+y^3 ?

The solution for x*y^2*y^'=x^3+y^3 is y=x\sqrt[3]{3ln(x)+c_{1}}

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xy^2y^'=x^3+y^3

x \cdot y^{2} \cdot y^{^{'}} = x^{3} + y^{3}

Solution steps

x \cdot y^{2} \cdot y^{'} (x) = x^{3} + y^{3}

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What is the solution for x*y^2*y^'=x^3+y^3 ?
The solution for x*y^2*y^'=x^3+y^3 is y=x\sqrt[3]{3ln(x)+c_{1}}