2.240   ODE No. 240

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

$$ax+2xy(x)y^{\prime }(x)-y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0949386 (sec), leaf count = 41

$$\{\{y(x)\to -\sqrt{-ax\log (x)+c_{1}x}\},\{y(x)\to \sqrt{-ax\log (x)+c_{1}x}\}\}$$ ✓ Maple : cpu = 0.018 (sec), leaf count = 34

$$\{y\left(x\right)=\sqrt{-ax\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}x},y\left(x\right)=-\sqrt{-x(a\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1})}\}$$