3.48   ODE No. 48

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

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

Mathematica: cpu = 36.628151 (sec), leaf count = 33 $$\text{DSolve}[y(x{)}^3(-(a{x}^n+bx))-cy(x{)}^2+y^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 1.232 (sec), leaf count = 0 $$\text{could not solve}$$

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