\[ -2 \left (\nu ^2 x^2+6\right ) y''(x)+\nu ^2 \left (\nu ^2 x^2+4\right ) y(x)+x^2 y^{(4)}(x)=0 \] ✓ Mathematica : cpu = 0.291807 (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 = 0.212 (sec), leaf count = 62
\[ \left \{ y \left ( x \right ) ={\frac { \left ( {\it \_C4}\,{\nu }^{2}{x}^{3}+6\,{\it \_C4}\,\nu \,{x}^{2}+15\,{\it \_C4}\,x+{\it \_C2} \right ) {{\rm e}^{-\nu \,x}}+{{\rm e}^{\nu \,x}} \left ( {\it \_C3}\,{\nu }^{2}{x}^{3}-6\,{\it \_C3}\,\nu \,{x}^{2}+15\,{\it \_C3}\,x+{\it \_C1} \right ) }{x}} \right \} \]