3.29   ODE No. 29

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

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

Mathematica: cpu = 0.022003 (sec), leaf count = 39 $$\left\{\{y(x)\to -\frac{3e^{3c_1+\frac{3x^2}{2}}}{e^{3c_1+\frac{3x^2}{2}}-1}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 19 $$\{y\left(x\right)=3{(-1+3{\mathrm{e}}^{-3/2x^2}\mathit{\_}\mathit{C}\mathit{1})}^{-1}\}$$

Sage: cpu = 0.056 (sec), leaf count = 0 $$[-\frac{1}{3}\log (y\left(x\right)+3)+\frac{1}{3}\log \left(y\left(x\right)\right)=\frac{1}{2}{x}^2+c,\mathtt{\text{separable}}]$$