3.47   ODE No. 47

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

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

Mathematica: cpu = 33.168712 (sec), leaf count = 31 $$\text{DSolve}[-a(x^n-x)y(x{)}^3+y^{\prime }(x)-y(x{)}^2=0,y(x),x]$$

Maple: cpu = 1.248 (sec), leaf count = 0 $$\text{could not solve}$$

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