3.217   ODE No. 217

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

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

Mathematica: cpu = 0.018502 (sec), leaf count = 29 $$\left\{\{y(x)\to \frac{1}{2}(W(-e^{c_1-2x^2-1})+1)+x^2\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 23 $$\{y\left(x\right)=x^2+\frac{\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-4\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-2x^2-1})}{2}+\frac{1}{2}\}$$