\[ -2 \left (\nu ^2 x^2+6\right ) y''(x)+\nu ^2 \left (\nu ^2 x^2+4\right ) y(x)+x^2 y^{(4)}(x)=0 \] ✓ Mathematica : cpu = 0.417322 (sec), leaf count = 110
\[\left \{\left \{y(x)\to \frac {c_3 (1-x) e^{-\nu x} \left (\nu ^2 x^2+\nu ^2 x+\nu ^2+6 \nu x+6 \nu +15\right )}{x}+\frac {c_4 (1-x) e^{\nu x} \left (\nu ^2 x^2+\nu ^2 x+\nu ^2-6 \nu x-6 \nu +15\right )}{x}+\frac {c_1 e^{-\nu x}}{x}+\frac {c_2 e^{\nu x}}{x}\right \}\right \}\]
✓ Maple : cpu = 0.283 (sec), leaf count = 63
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,{{\rm e}^{x\nu }}}{x}}+{\frac {{\it \_C2}\,{{\rm e}^{-x\nu }}}{x}}+{\it \_C3}\,{{\rm e}^{x\nu }} \left ( {\nu }^{2}{x}^{2}-6\,x\nu +15 \right ) +{\it \_C4}\,{{\rm e}^{-x\nu }} \left ( {\nu }^{2}{x}^{2}+6\,x\nu +15 \right ) \right \} \]