3.171   ODE No. 171

$$\boxed{{\displaystyle x^3\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-{\left(y\left(x\right)\right)}^2-x^{2}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.009501 (sec), leaf count = 17 $$\left\{\{y(x)\to \frac{x^2}{c_{1}x+1}\}\right\}$$

Maple: cpu = 0.0 (sec), leaf count = 15 $$\{y\left(x\right)=\frac{x^2}{\mathit{\_}\mathit{C}\mathit{1}x+1}\}$$