2.241   ODE No. 241

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

$$a{x}^2+2xy(x)y^{\prime }(x)-y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0896696 (sec), leaf count = 41

$$\{\{y(x)\to -\sqrt{-a{x}^2+c_{1}x}\},\{y(x)\to \sqrt{-a{x}^2+c_{1}x}\}\}$$ ✓ Maple : cpu = 0.011 (sec), leaf count = 33

$$\{y\left(x\right)=\sqrt{-a{x}^2+\mathit{\_}\mathit{C}\mathit{1}x},y\left(x\right)=-\sqrt{-a{x}^2+\mathit{\_}\mathit{C}\mathit{1}x}\}$$