\[ \left (\left (1-4 \nu ^2\right ) x+4 x^3\right ) y'(x)+\left (4 \nu ^2-1\right ) y(x)+x^3 y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.0077945 (sec), leaf count = 34
\[\left \{\left \{y(x)\to c_1 x J_{\nu }(x){}^2+c_3 x Y_{\nu }(x){}^2+c_2 x J_{\nu }(x) Y_{\nu }(x)\right \}\right \}\] ✓ Maple : cpu = 0.056 (sec), leaf count = 29
\[y \relax (x ) = x \left (\BesselY \left (\nu , x\right )^{2} c_{2}+\BesselY \left (\nu , x\right ) \BesselJ \left (\nu , x\right ) c_{3}+\BesselJ \left (\nu , x\right )^{2} c_{1}\right )\]