3.465   ODE No. 465

$$\boxed{{\displaystyle y\left(x\right){\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+2x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-9y\left(x\right)=0}}$$

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

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

Maple: cpu = 0.640 (sec), leaf count = 209 $$\{-\frac{\mathit{\_}\mathit{C}\mathit{1}x}{2}(-x+\sqrt{x^2+9{\left(y\left(x\right)\right)}^2}){\left(\frac{1}{y\left(x\right)}(-x+\sqrt{x^2+9{\left(y\left(x\right)\right)}^2})\right)}^{\frac{2}{7}}{(x\sqrt{x^2+9{\left(y\left(x\right)\right)}^2}-x^2-{\left(y\left(x\right)\right)}^2)}^{-1}\frac{1}{\sqrt[7]{\frac{1}{{\left(y\left(x\right)\right)}^2}(2x^2+2{\left(y\left(x\right)\right)}^2-2x\sqrt{x^2+9{\left(y\left(x\right)\right)}^2})}}+x=0,\mathit{\_}\mathit{C}\mathit{1}x(x+\sqrt{x^2+9{\left(y\left(x\right)\right)}^2}){\left(\frac{1}{y\left(x\right)}(-x-\sqrt{x^2+9{\left(y\left(x\right)\right)}^2})\right)}^{\frac{2}{7}}{(x\sqrt{x^2+9{\left(y\left(x\right)\right)}^2}+x^2+{\left(y\left(x\right)\right)}^2)}^{-1}\frac{1}{\sqrt[7]{\frac{1}{{\left(y\left(x\right)\right)}^2}(x\sqrt{x^2+9{\left(y\left(x\right)\right)}^2}+x^2+{\left(y\left(x\right)\right)}^2)}}+x=0\}$$