3.385   ODE No. 385

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

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

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

Maple: cpu = 0.562 (sec), leaf count = 169 $$\{y\left(x\right)=\frac{x^4-{\left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x^{16}-12{\mathit{\_}\mathit{Z}}^2{x}^{12}+16{\mathit{\_}\mathit{Z}}^3{x}^{10}+30{\mathit{\_}\mathit{Z}}^4{x}^8-96{\mathit{\_}\mathit{Z}}^5{x}^6+100{\mathit{\_}\mathit{Z}}^6{x}^4-48{\mathit{\_}\mathit{Z}}^7{x}^2+9{\mathit{\_}\mathit{Z}}^8-16\mathit{\_}\mathit{C}\mathit{1}{x}^4)\right)}^2}{2x},y\left(x\right)=\frac{x^4-{\left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\mathit{\_}\mathit{C}\mathit{1}{x}^{16}-12\mathit{\_}\mathit{C}\mathit{1}{\mathit{\_}\mathit{Z}}^2{x}^{12}-16\mathit{\_}\mathit{C}\mathit{1}{\mathit{\_}\mathit{Z}}^3{x}^{10}+30\mathit{\_}\mathit{C}\mathit{1}{\mathit{\_}\mathit{Z}}^4{x}^8+96\mathit{\_}\mathit{C}\mathit{1}{\mathit{\_}\mathit{Z}}^5{x}^6+100\mathit{\_}\mathit{C}\mathit{1}{\mathit{\_}\mathit{Z}}^6{x}^4+48\mathit{\_}\mathit{C}\mathit{1}{\mathit{\_}\mathit{Z}}^7{x}^2+9\mathit{\_}\mathit{C}\mathit{1}{\mathit{\_}\mathit{Z}}^8-16x^4)\right)}^2}{2x}\}$$