2.1768   ODE No. 1768

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

$$x(y(x)+x)y^{″}(x)+x{y}^{\prime }(x{)}^2+(x-y(x))y^{\prime }(x)-y(x)=0$$ ✓ Mathematica : cpu = 0.113529 (sec), leaf count = 87

$$\{\{y(x)\to -x-\sqrt{-e^{2c_2}{x}^2-2i{c}_1{x}^2+e^{2c_2}+x^2}\},\{y(x)\to -x+\sqrt{-e^{2c_2}{x}^2-2i{c}_1{x}^2+e^{2c_2}+x^2}\}\}$$

✓ Maple : cpu = 0.328 (sec), leaf count = 43

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