3.55   ODE No. 55

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-f\left(x\right){\left(y\left(x\right)\right)}^n-g\left(x\right)y\left(x\right)-h\left(x\right)=0}}$$

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

Mathematica: cpu = 6.593337 (sec), leaf count = 29 $$\text{DSolve}[-f(x)y(x{)}^n-g(x)y(x)-h(x)+y^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 0.218 (sec), leaf count = 0 $$\text{could not solve}$$

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