8.211   ODE No. 1801

$$\boxed{{\displaystyle 2{\left(y\left(x\right)\right)}^3\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+{\left(y\left(x\right)\right)}^4-a^{2}x{\left(y\left(x\right)\right)}^2-1=0}}$$

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

Mathematica: cpu = 20.022043 (sec), leaf count = 32 $$\text{DSolve}[-a^{2}xy(x{)}^2+2y(x{)}^3{y}^{″}(x)+y(x{)}^4-1=0,y(x),x]$$

Maple: cpu = 1.794 (sec), leaf count = 0 $$\text{could not solve}$$