2.1773   ODE No. 1773

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

$$2x^{2}y(x)y^{″}(x)+x^2(-(y^{\prime }(x{)}^2+1))+y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.182512 (sec), leaf count = 44

$$\left\{\{y(x)\to \frac{x(c_1^2{\log }^2(x)-2c_2{c}_1^2\log (x)+c_2^2{c}_1^2+4)}{4c_1}\}\right\}$$

✓ Maple : cpu = 0.317 (sec), leaf count = 28

$$\{y\left(x\right)=\frac{({\mathit{\_}\mathit{C}\mathit{1}}^2+1)x}{4\mathit{\_}\mathit{C}\mathit{2}}+\mathit{\_}\mathit{C}\mathit{1}x\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{2}x{(\ln \left(x\right))}^2\}$$