8.193   ODE No. 1783

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

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

Mathematica: cpu = 1.423181 (sec), leaf count = 26 $$\text{Solve}[x=c_2{e}^{e^{-c_1}y(x)}-y(x{)}^2,y(x)]$$

Maple: cpu = 1.670 (sec), leaf count = 23 $$\{\frac{-\mathit{\_}\mathit{C}\mathit{1}y\left(x\right)+\ln (x+{\left(y\left(x\right)\right)}^2)+\mathit{\_}\mathit{C}\mathit{2}+2}{y\left(x\right)}=0\}$$