3.471   ODE No. 471

$$\boxed{{\displaystyle y\left(x\right){\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-(y\left(x\right)-x)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-x=0}}$$

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

Mathematica: cpu = 0.007001 (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 = 0.015 (sec), leaf count = 33 $$\{y\left(x\right)=\sqrt{-x^2+\mathit{\_}\mathit{C}\mathit{1}},y\left(x\right)=-\sqrt{-x^2+\mathit{\_}\mathit{C}\mathit{1}},y\left(x\right)=x+\mathit{\_}\mathit{C}\mathit{1}\}$$