8.158   ODE No. 1748

$$\boxed{{\displaystyle 4\left(\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)\right)y\left(x\right)-3{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+4y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.093512 (sec), leaf count = 43 $$\left\{\{y(x)\to \frac{(c_1^2{x}^2+2c_2{c}_1^{2}x+c_2^2{c}_1^2-64){}^2}{256c_1^2}\}\right\}$$

Maple: cpu = 1.654 (sec), leaf count = 67 $$\{-4\frac{\sqrt{\mathit{\_}\mathit{C}\mathit{1}{\left(y\left(x\right)\right)}^{3/2}+4y\left(x\right)}}{\sqrt{y\left(x\right)}\mathit{\_}\mathit{C}\mathit{1}}-x-\mathit{\_}\mathit{C}\mathit{2}=0,4\frac{\sqrt{\mathit{\_}\mathit{C}\mathit{1}{\left(y\left(x\right)\right)}^{3/2}+4y\left(x\right)}}{\sqrt{y\left(x\right)}\mathit{\_}\mathit{C}\mathit{1}}-x-\mathit{\_}\mathit{C}\mathit{2}=0,y\left(x\right)=0\}$$