\[ \boxed { {x}^{3}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) + \left ( 4\,{x}^{3}+ \left ( -4\,{\nu }^{2}+1 \right ) x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( 4\,{\nu }^{2}-1 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.010501 (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 = 0.047 (sec), leaf count = 30 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,x \left ( {{\sl J}_{\nu }\left ( x\right )} \right ) ^{2}+{\it \_C2}\,x \left ( {{\sl Y}_{\nu }\left (x \right )} \right ) ^{2}+{\it \_C3}\,x{{\sl J}_{\nu }\left (x\right )}{ {\sl Y}_{\nu }\left (x\right )} \right \} \]