8.151   ODE No. 1741

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

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

Mathematica: cpu = 0.092012 (sec), leaf count = 17 $$\left\{\{y(x)\to c_2{\sec }^2(2c_1+x)\}\right\}$$

Maple: cpu = 1.638 (sec), leaf count = 37 $$\{y\left(x\right)=4{({\mathit{\_}\mathit{C}\mathit{1}}^2{(\sin \left(x\right))}^2-{\mathit{\_}\mathit{C}\mathit{2}}^2{(\sin \left(x\right))}^2-2\mathit{\_}\mathit{C}\mathit{1}\mathit{\_}\mathit{C}\mathit{2}\sin \left(x\right)\cos \left(x\right)+{\mathit{\_}\mathit{C}\mathit{2}}^2)}^{-1}\}$$