3.138   ODE No. 138

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

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

Mathematica: cpu = 0.013502 (sec), leaf count = 13 $$\left\{\{y(x)\to x\tan (c_1+\log (x))\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 11 $$\{y\left(x\right)=\tan (\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1})x\}$$