3.137   ODE No. 137

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

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

Mathematica: cpu = 0.008501 (sec), leaf count = 16 $$\left\{\{y(x)\to \frac{x}{c_1-\log (x)}\}\right\}$$

Maple: cpu = 0.0 (sec), leaf count = 15 $$\{y\left(x\right)=-\frac{x}{\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}}\}$$