8.162   ODE No. 1752

$$\boxed{{\displaystyle 4\left(\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)\right)y\left(x\right)-5{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+a{\left(y\left(x\right)\right)}^2=0}}$$

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

Mathematica: cpu = 0.129016 (sec), leaf count = 26 $$\left\{\{y(x)\to c_2{\text{sech}}^4\left(\frac{1}{4}\sqrt{a}(x-4c_1)\right)\}\right\}$$

Maple: cpu = 1.575 (sec), leaf count = 33 $$\{y\left(x\right)=16\frac{{\left({\mathrm{e}}^{1/4\sqrt{a}x}\right)}^4{a}^2}{{({\mathrm{e}}^{1/2\sqrt{a}x}\mathit{\_}\mathit{C}\mathit{1}-\mathit{\_}\mathit{C}\mathit{2})}^4}\}$$