3.232   ODE No. 232

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

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

Mathematica: cpu = 0.009001 (sec), leaf count = 56 $$\{\{y(x)\to -\frac{\sqrt{2c_1-x^4}}{\sqrt{2}x}\},\{y(x)\to \frac{\sqrt{2c_1-x^4}}{\sqrt{2}x}\}\}$$

Maple: cpu = 0.015 (sec), leaf count = 39 $$\{y\left(x\right)=-\frac{1}{2x}\sqrt{-2x^4+4\mathit{\_}\mathit{C}\mathit{1}},y\left(x\right)=\frac{1}{2x}\sqrt{-2x^4+4\mathit{\_}\mathit{C}\mathit{1}}\}$$