\[ \left (\left (1-4 \nu ^2\right ) x+4 x^3\right ) y'(x)+\left (4 \nu ^2-1\right ) y(x)+x^3 y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.0076247 (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 = 0.043 (sec), leaf count = 29
\[ \left \{ y \left ( x \right ) =x \left ( \left ( {{\sl Y}_{\nu }\left (x\right )} \right ) ^{2}{\it \_C2}+{{\sl Y}_{\nu }\left (x\right )}{{\sl J}_{\nu }\left (x\right )}{\it \_C3}+ \left ( {{\sl J}_{\nu }\left (x\right )} \right ) ^{2}{\it \_C1} \right ) \right \} \]