2.466   ODE No. 466

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 = 0.251265 (sec), leaf count = 145

$$\{\{y(x)\to -\sqrt{-2x\sinh \left(c_1\right)-2x\cosh \left(c_1\right)-\sinh \left(2c_1\right)-\cosh \left(2c_1\right)}\},\{y(x)\to \sqrt{-2x\sinh \left(c_1\right)-2x\cosh \left(c_1\right)-\sinh \left(2c_1\right)-\cosh \left(2c_1\right)}\},\{y(x)\to -\sqrt{2x\sinh \left(c_1\right)+2x\cosh \left(c_1\right)-\sinh \left(2c_1\right)-\cosh \left(2c_1\right)}\},\{y(x)\to \sqrt{2x\sinh \left(c_1\right)+2x\cosh \left(c_1\right)-\sinh \left(2c_1\right)-\cosh \left(2c_1\right)}\}\}$$

✓ Maple : cpu = 0.378 (sec), leaf count = 71

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