8.230   ODE No. 1820

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

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

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

Maple: cpu = 0.780 (sec), leaf count = 81 $$\{y\left(x\right)=\mathit{O}\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}\mathit{S}\mathit{t}\mathit{r}\mathit{u}\mathit{c}({\mathrm{e}}^{\int \mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\mathrm{d}\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1}},[\{\frac{\mathrm{d}}{\mathrm{d}\mathit{\_}\mathit{a}}\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)=-\frac{{\left(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)}^3\mathit{f}\mathit{1}+(\mathit{f}\mathit{2}+\mathit{f}\mathit{3}){\left(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)}^2+\mathit{f}\mathit{4}\left(\mathit{\_}\mathit{a}\right)\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)+\mathit{f}\mathit{5}\left(\mathit{\_}\mathit{a}\right)}{\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\mathit{f}\mathit{1}+\mathit{f}\mathit{2}}\},\{\mathit{\_}\mathit{a}=x,\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)=\frac{\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{y\left(x\right)}\},\{x=\mathit{\_}\mathit{a},y\left(x\right)={\mathrm{e}}^{\int \mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\mathrm{d}\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1}}\}])\}$$