\[ \nu (2 x+1) y'(x)-\nu (x+1) y(x)-x (v+x) y''(x)+x^2 y^{(3)}(x)=0 \] ✗ Mathematica : cpu = 45.9694 (sec), leaf count = 0 , DifferentialRoot result
\[\left \{\left \{y(x)\to (x)\right \}\right \}\]
✓ Maple : cpu = 0.189 (sec), leaf count = 55
\[\left \{y \left (x \right ) = c_{2} x^{\frac {\nu }{2}+\frac {1}{2}} \BesselJ \left (-\nu -1, 2 \sqrt {\nu }\, \sqrt {x}\right )+c_{3} x^{\frac {\nu }{2}+\frac {1}{2}} \BesselY \left (-\nu -1, 2 \sqrt {\nu }\, \sqrt {x}\right )+c_{1} {\mathrm e}^{x}\right \}\]