3.242   ODE No. 242

$$\boxed{{\displaystyle 2xy\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+2{\left(y\left(x\right)\right)}^2+1=0}}$$

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

Mathematica: cpu = 0.013502 (sec), leaf count = 60 $$\{\{y(x)\to -\frac{\sqrt{e^{4c_1}-x^2}}{\sqrt{2}x}\},\{y(x)\to \frac{\sqrt{e^{4c_1}-x^2}}{\sqrt{2}x}\}\}$$

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