2.400   ODE No. 400

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

$$-2x^2{y}^{\prime }(x)+2y^{\prime }(x{)}^2+3xy(x)=0$$ ✗ Mathematica : cpu = 299.997 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.195 (sec), leaf count = 117

$$\{y\left(x\right)=\frac{x^3}{6},y\left(x\right)=\frac{1}{3\mathit{\_}\mathit{C}\mathit{1}}(x^3\mathit{\_}\mathit{C}\mathit{1}+x(-x^2\mathit{\_}\mathit{C}\mathit{1}+\sqrt{-6\mathit{\_}\mathit{C}\mathit{1}x})+3),y\left(x\right)=\frac{1}{3\mathit{\_}\mathit{C}\mathit{1}}(x^3\mathit{\_}\mathit{C}\mathit{1}-x(x^2\mathit{\_}\mathit{C}\mathit{1}+\sqrt{-6\mathit{\_}\mathit{C}\mathit{1}x})+3),y\left(x\right)=\frac{x^3}{3}-\frac{x}{3}(x^2-\sqrt{-6\mathit{\_}\mathit{C}\mathit{1}x})+\mathit{\_}\mathit{C}\mathit{1},y\left(x\right)=\frac{x^3}{3}-\frac{x}{3}(x^2+\sqrt{-6\mathit{\_}\mathit{C}\mathit{1}x})+\mathit{\_}\mathit{C}\mathit{1}\}$$