3.625   ODE No. 625

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=i/2x^2(i-2\sqrt{-x^3+6y\left(x\right)})=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.209527 (sec), leaf count = 76 $$\text{Solve}[-y(x)+\frac{1}{12}(2i\sqrt{6y(x)-x^3}-\log (-x^3+6y(x)+1)-2i{\tan }^{-1}\left(\sqrt{6y(x)-x^3}\right)-2x^3+12y(x))=c_1,y(x)]$$

Maple: cpu = 0.156 (sec), leaf count = 53 $$\{-2i\sqrt{-x^3+6y\left(x\right)}+2i\arctan \left(\sqrt{-x^3+6y\left(x\right)}\right)+\ln (x^3-6y\left(x\right)-1)+2x^3-\mathit{\_}\mathit{C}\mathit{1}=0\}$$