2.1500   ODE No. 1500

\[ \nu (2 x+1) y'(x)-\nu (x+1) y(x)-x (v+x) y''(x)+x^2 y^{(3)}(x)=0 \] Mathematica : cpu = 29.1946 (sec), leaf count = 0


, DifferentialRoot result

\[\left \{\left \{y(x)\to (x)\right \}\right \}\]

Maple : cpu = 0.162 (sec), leaf count = 55


\[y \relax (x ) = {\mathrm e}^{x} c_{1}+c_{2} x^{\frac {\nu }{2}+\frac {1}{2}} \BesselJ \left (-\nu -1, 2 \sqrt {\nu }\, \sqrt {x}\right )+c_{3} x^{\frac {\nu }{2}+\frac {1}{2}} \BesselY \left (-\nu -1, 2 \sqrt {\nu }\, \sqrt {x}\right )\]