3.481   ODE No. 481

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

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

Mathematica: cpu = 0.008501 (sec), leaf count = 49 $$\{\{y(x)\to \frac{c_1}{x}\},\{y(x)\to -\sqrt{2c_1-x^2}\},\{y(x)\to \sqrt{2c_1-x^2}\}\}$$

Maple: cpu = 0.016 (sec), leaf count = 35 $$\{y\left(x\right)=\sqrt{-x^2+\mathit{\_}\mathit{C}\mathit{1}},y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{x},y\left(x\right)=-\sqrt{-x^2+\mathit{\_}\mathit{C}\mathit{1}}\}$$