2.1831   ODE No. 1831

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

$$y^{\prime }(x)((xF(1,2)+xF(2,1))y^{″}(x)+y(x)(xF(0,1)+xF(1,0)))+y(x)(xF(0,2)+xF(2,0))y^{″}(x)+xF(2,2)y^{″}(x{)}^2+xF(1,1)y^{″}(x)+xF(0,0)y(x{)}^2=0$$ ✗ Mathematica : cpu = 300.003 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 3.775 (sec), leaf count = 163

$$\{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{1}{2\left(F_{2,2}\right)\left(\mathit{\_}\mathit{a}\right)}(\sqrt{({\left(\left(F_{2,1}\right)\left(\mathit{\_}\mathit{a}\right)\right)}^2+2\left(F_{2,1}\right)\left(\mathit{\_}\mathit{a}\right)\left(F_{1,2}\right)\left(\mathit{\_}\mathit{a}\right)-4\left(F_{2,2}\right)\left(\mathit{\_}\mathit{a}\right)\left(F_{1,1}\right)\left(\mathit{\_}\mathit{a}\right)+{\left(\left(F_{1,2}\right)\left(\mathit{\_}\mathit{a}\right)\right)}^2){\left(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)}^2+((2\left(F_{0,2}\right)\left(\mathit{\_}\mathit{a}\right)+2\left(F_{2,0}\right)\left(\mathit{\_}\mathit{a}\right))\left(F_{1,2}\right)\left(\mathit{\_}\mathit{a}\right)+(2\left(F_{0,2}\right)\left(\mathit{\_}\mathit{a}\right)+2\left(F_{2,0}\right)\left(\mathit{\_}\mathit{a}\right))\left(F_{2,1}\right)\left(\mathit{\_}\mathit{a}\right)-4\left(F_{2,2}\right)\left(\mathit{\_}\mathit{a}\right)(\left(F_{0,1}\right)\left(\mathit{\_}\mathit{a}\right)+\left(F_{1,0}\right)\left(\mathit{\_}\mathit{a}\right)))\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)-4\left(F_{2,2}\right)\left(\mathit{\_}\mathit{a}\right)\left(F_{0,0}\right)\left(\mathit{\_}\mathit{a}\right)+{(\left(F_{0,2}\right)\left(\mathit{\_}\mathit{a}\right)+\left(F_{2,0}\right)\left(\mathit{\_}\mathit{a}\right))}^2}-2{\left(\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)\right)}^2\left(F_{2,2}\right)\left(\mathit{\_}\mathit{a}\right)+(-\left(F_{2,1}\right)\left(\mathit{\_}\mathit{a}\right)-\left(F_{1,2}\right)\left(\mathit{\_}\mathit{a}\right))\mathit{\_}\mathit{b}\left(\mathit{\_}\mathit{a}\right)-\left(F_{0,2}\right)\left(\mathit{\_}\mathit{a}\right)-\left(F_{2,0}\right)\left(\mathit{\_}\mathit{a}\right))\},\{\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}}\}])\}$$