8.183   ODE No. 1773

$$\boxed{{\displaystyle 2x^{2}y\left(x\right)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-x^2({\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+1)+{\left(y\left(x\right)\right)}^2=0}}$$

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

Mathematica: cpu = 0.189524 (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 = 1.638 (sec), leaf count = 28 $$\{y\left(x\right)=\frac{({\mathit{\_}\mathit{C}\mathit{1}}^2+1)x}{4\mathit{\_}\mathit{C}\mathit{2}}+\mathit{\_}\mathit{C}\mathit{1}x\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{2}x{(\ln \left(x\right))}^2\}$$