3.575   ODE No. 575

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

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

Mathematica: cpu = 0.017002 (sec), leaf count = 41 $$\text{DSolve}[y^{\prime }(x)f(xy(x)y^{\prime }(x)-y(x{)}^2)+x^2(-y^{\prime }(x))+xy(x)=0,y(x),x]$$

Maple: cpu = 0.452 (sec), leaf count = 0 $$\text{could not solve}$$