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 = 0.00980399 (sec), leaf count = 41

$$\{\{y(x)\to -\sqrt{c_{1}x-a{x}^2}\},\{y(x)\to \sqrt{c_{1}x-a{x}^2}\}\}$$

✓ Maple : cpu = 0.016 (sec), leaf count = 33

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