3.38   ODE No. 38

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

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

Mathematica: cpu = 8.692104 (sec), leaf count = 26 $$\text{DSolve}[-ay(x{)}^3-b{x}^{3/2}+y^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 0.655 (sec), leaf count = 0 $$\text{could not solve}$$

Sage: cpu = 0 (sec), leaf count = 0 $$\text{Maxima was unable to solve this ODE}$$