3.120   ODE No. 120

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

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

Mathematica: cpu = 0.048506 (sec), leaf count = 20 $$\left\{\{y(x)\to x^2{e}^{-2c_1{e}^{-x}}\}\right\}$$

Maple: cpu = 0.125 (sec), leaf count = 17 $$\{y\left(x\right)=x^2{\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\mathrm{e}}^x}}\right)}^{-1}\}$$