\[ y(x) \left (a x^2+a+b x\right )+x^3 y''(x)+x^2 y'(x)=0 \] ✗ Mathematica : cpu = 1.05699 (sec), leaf count = 0 , DifferentialRoot result
\[\left \{\left \{y(x)\to (x)\right \}\right \}\]
✓ Maple : cpu = 0.223 (sec), leaf count = 69
\[\left \{y \left (x \right ) = \left (c_{2} \left (\int \frac {1}{x \mathit {HD}\left (0, 8 a +4 b , 0, 8 a -4 b , \frac {x +1}{x -1}\right )^{2}}d x \right )+c_{1}\right ) \mathit {HD}\left (0, 8 a +4 b , 0, 8 a -4 b , \frac {x +1}{x -1}\right )\right \}\]