2.471   ODE No. 471

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

$$y(x)y^{\prime }(x{)}^2-(y(x)-x)y^{\prime }(x)-x=0$$ ✓ Mathematica : cpu = 0.0084314 (sec), leaf count = 47

$$\{\{y(x)\to c_1+x\},\{y(x)\to -\sqrt{2c_1-x^2}\},\{y(x)\to \sqrt{2c_1-x^2}\}\}$$ ✓ Maple : cpu = 0.033 (sec), leaf count = 33

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