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 = 0.0905634 (sec), leaf count = 52

$$\{\{y(x)\to -e^{\frac{c_1}{2}}\sqrt{-2x+e^{c_1}}\},\{y(x)\to e^{\frac{c_1}{2}}\sqrt{-2x+e^{c_1}}\}\}$$ ✓ Maple : cpu = 1.348 (sec), leaf count = 70

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