2.1679   ODE No. 1679

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

$$(x^2+1)y^{″}(x)+y^{\prime }(x{)}^2+1=0$$ ✓ Mathematica : cpu = 0.0852991 (sec), leaf count = 33

$$\left\{\{y(x)\to -x\cot \left(c_1\right)+{\csc }^2\left(c_1\right)\log (-x\sin \left(c_1\right)-\cos \left(c_1\right))+c_2\}\right\}$$

✓ Maple : cpu = 0.181 (sec), leaf count = 27

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