3.974   ODE No. 974

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)={\left(y\left(x\right)\right)}^3-3x^2{\left(y\left(x\right)\right)}^2+3y\left(x\right)x^4-x^6+2x=0}}$$

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

Mathematica: cpu = 0.010001 (sec), leaf count = 39 $$\{\{y(x)\to x^2-\frac{1}{\sqrt{c_1-2x}}\},\{y(x)\to \frac{1}{\sqrt{c_1-2x}}+x^2\}\}$$

Maple: cpu = 0.031 (sec), leaf count = 57 $$\{y\left(x\right)=1(x^2\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x}-1)\frac{1}{\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x}},y\left(x\right)=1(x^2\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x}+1)\frac{1}{\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x}}\}$$