2.555   ODE No. 555

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

$$x{y}^{\prime }(x)+\sqrt{y^{\prime }(x{)}^2+1}-y(x)=0$$ ✓ Mathematica : cpu = 0.330312 (sec), leaf count = 119

$$\{\{y(x)\to \frac{-ix+ix\cos (2c_1)-x\sin (2c_1)+2\cos (c_1)+2i\sin (c_1)}{1+\cos (2c_1)+i\sin (2c_1)}\},\{y(x)\to \frac{i(-x+x\cos (2c_1)+ix\sin (2c_1)+2i\cos (c_1)-2\sin (c_1))}{1+\cos (2c_1)+i\sin (2c_1)}\}\}$$ ✓ Maple : cpu = 0.09 (sec), leaf count = 15

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