2.464   ODE No. 464

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

$$y(x)y^{\prime }(x{)}^2+2x{y}^{\prime }(x)-y(x)=0$$ ✓ Mathematica : cpu = 0.0607374 (sec), leaf count = 52

$$\{\{y(x)\to -e^{\frac{c_1}{2}}\sqrt{e^{c_1}-2x}\},\{y(x)\to e^{\frac{c_1}{2}}\sqrt{e^{c_1}-2x}\}\}$$

✓ Maple : cpu = 0.445 (sec), leaf count = 71

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