Elementary Differential Equations and Boundary Value Problems 9th Edition

$\frac{y^2}{2}-\frac{1}{3}log(x^3+1)+c=0$
$\frac{dy}{dx}=\frac{x^2}{y(1+x^3)}$ Separate variables $y(1+x^3)dy=x^2dx$ $\int{ydy}=\int{\frac{x^2}{1+x^3}dx}$ $\frac{y^2}{2}-\frac{1}{3}log(x^3+1)+c=0$