3.239   ODE No. 239

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

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

Mathematica: cpu = 0.028504 (sec), leaf count = 54 $$\{\{y(x)\to x-\frac{\sqrt{e^{2c_1}+2x^4}}{x}\},\{y(x)\to \frac{\sqrt{e^{2c_1}+2x^4}}{x}+x\}\}$$

Maple: cpu = 0.125 (sec), leaf count = 59 $$\{y\left(x\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}x}(x^2\mathit{\_}\mathit{C}\mathit{1}-\sqrt{2x^4{\mathit{\_}\mathit{C}\mathit{1}}^2+1}),y\left(x\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}x}(x^2\mathit{\_}\mathit{C}\mathit{1}+\sqrt{2x^4{\mathit{\_}\mathit{C}\mathit{1}}^2+1})\}$$