2.1820   ODE No. 1820

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

$$y^{″}(x)(\text{f1}(x)y^{\prime }(x)+\text{f2}(x)y(x))+\text{f3}(x)y^{\prime }(x{)}^2+\text{f4}(x)y(x)y^{\prime }(x)+\text{f5}(x)y(x{)}^2=0$$ ✗ Mathematica : cpu = 321.619 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 1.332 (sec), leaf count = 88

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