3.480   ODE No. 480

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

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

Mathematica: cpu = 30.550379 (sec), leaf count = 41 $$\text{DSolve}[(ay(x)-x^2)y^{\prime }(x{)}^2+2xy(x)y^{\prime }(x{)}^2-y(x{)}^2=0,y(x),x]$$

Maple: cpu = 2.044 (sec), leaf count = 0 $$\text{could not solve}$$