3.869   ODE No. 869

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{-x+1-2y\left(x\right)+3x^2-2x^{2}y\left(x\right)+2x^4+x^3-2x^{3}y\left(x\right)+2x^5}{x^2-y\left(x\right)}=0}}$$

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

Mathematica: cpu = 0.035005 (sec), leaf count = 42 $$\left\{\{y(x)\to \frac{1}{2}(W(-e^{c_1+x^4+\frac{4x^3}{3}-2x^2+4x-1})+1)+x^2\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 37 $$\{y\left(x\right)=x^2+\frac{1}{2}\mathit{l}\mathit{a}\mathit{m}\mathit{b}\mathit{e}\mathit{r}\mathit{t}\mathit{W}(-2\frac{{\mathrm{e}}^{x^4}{\mathrm{e}}^{4/3x^3}\mathit{\_}\mathit{C}\mathit{1}{\left({\mathrm{e}}^x\right)}^4{\mathrm{e}}^{-1}}{{\left({\mathrm{e}}^{x^2}\right)}^2})+\frac{1}{2}\}$$