3.468   ODE No. 468

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

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

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

Maple: cpu = 0.577 (sec), leaf count = 181 $$\{-\frac{\mathit{\_}\mathit{C}\mathit{1}x}{ay\left(x\right)}\frac{1}{\sqrt[3]{\frac{a}{y\left(x\right)}(2ax+\sqrt{4a^2{x}^2-{\left(y\left(x\right)\right)}^2})}}\frac{1}{\sqrt[3]{\frac{a^2}{{\left(y\left(x\right)\right)}^2}(2a^2{x}^2+\sqrt{4a^2{x}^2-{\left(y\left(x\right)\right)}^2}ax-{\left(y\left(x\right)\right)}^2)}}+x=0,-\frac{\mathit{\_}\mathit{C}\mathit{1}x}{ay\left(x\right)}\frac{1}{\sqrt[3]{-\frac{a}{y\left(x\right)}(-2ax+\sqrt{4a^2{x}^2-{\left(y\left(x\right)\right)}^2})}}\frac{1}{\sqrt[3]{-4\frac{a^2(-2a^2{x}^2+\sqrt{4a^2{x}^2-{\left(y\left(x\right)\right)}^2}ax+{\left(y\left(x\right)\right)}^2)}{{\left(y\left(x\right)\right)}^2}}}+x=0\}$$