3.167   ODE No. 167

$$\boxed{{\displaystyle 3x^2\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-7{\left(y\left(x\right)\right)}^2-3xy\left(x\right)-x^2=0}}$$

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

Mathematica: cpu = 0.022003 (sec), leaf count = 35 $$\left\{\{y(x)\to \frac{x\tan \left(\frac{1}{3}(3\sqrt{7}{c}_1+\sqrt{7}\log (x))\right)}{\sqrt{7}}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 20 $$\{y\left(x\right)=\frac{x\sqrt{7}}{7}\tan \left(\frac{(\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1})\sqrt{7}}{3}\right)\}$$