\[ -2 \left (\nu ^2 x^2+6\right ) y''(x)+\nu ^2 \left (\nu ^2 x^2+4\right ) y(x)+x^2 y^{(4)}(x)=0 \] ✓ Mathematica : cpu = 0.429926 (sec), leaf count = 84
\[\left \{\left \{y(x)\to \frac {e^{-\nu x} \left (c_3 \left (-\nu ^2 x^3+\nu ^2-6 \nu x^2+6 \nu -15 x+15\right )+e^{2 \nu x} \left (c_4 \left (-\nu ^2 x^3+\nu ^2+6 \nu x^2-6 \nu -15 x+15\right )+c_2\right )+c_1\right )}{x}\right \}\right \}\]
✓ Maple : cpu = 0.265 (sec), leaf count = 62
\[ \left \{ y \left ( x \right ) ={\frac { \left ( {\it \_C4}\,{\nu }^{2}{x}^{3}+6\,{\it \_C4}\,\nu \,{x}^{2}+15\,{\it \_C4}\,x+{\it \_C2} \right ) {{\rm e}^{-x\nu }}+{{\rm e}^{x\nu }} \left ( {\it \_C3}\,{\nu }^{2}{x}^{3}-6\,{\it \_C3}\,\nu \,{x}^{2}+15\,{\it \_C3}\,x+{\it \_C1} \right ) }{x}} \right \} \]