3.402   ODE No. 402

$$\boxed{{\displaystyle 3{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+4x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-y\left(x\right)+x^2=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.577 (sec), leaf count = 121 $$\{y\left(x\right)=-\frac{x^2}{3},y\left(x\right)=\frac{-2\mathit{\_}\mathit{C}\mathit{1}x(-\mathit{\_}\mathit{C}\mathit{1}x+\sqrt{3})-5{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+3}{12{\mathit{\_}\mathit{C}\mathit{1}}^2},y\left(x\right)=\frac{2\mathit{\_}\mathit{C}\mathit{1}x(\mathit{\_}\mathit{C}\mathit{1}x+\sqrt{3})-5{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+3}{12{\mathit{\_}\mathit{C}\mathit{1}}^2},y\left(x\right)=-\frac{5x^2}{12}-\frac{x(-x-\sqrt{3}\mathit{\_}\mathit{C}\mathit{1})}{6}+\frac{{\mathit{\_}\mathit{C}\mathit{1}}^2}{4},y\left(x\right)=-\frac{5x^2}{12}-\frac{x(-x+\sqrt{3}\mathit{\_}\mathit{C}\mathit{1})}{6}+\frac{{\mathit{\_}\mathit{C}\mathit{1}}^2}{4}\}$$