3.110   ODE No. 110

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

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

Mathematica: cpu = 20.763637 (sec), leaf count = 26 $$\text{DSolve}[f(x)(y(x{)}^2-x^2)+x{y}^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 0.093 (sec), leaf count = 0 $$\text{could not solve}$$