\[ -2 \left (\nu ^2 x^2+6\right ) y''(x)+\nu ^2 \left (\nu ^2 x^2+4\right ) y(x)+x^2 y^{(4)}(x)=0 \] ✓ Mathematica : cpu = 0.366973 (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 = 0.231 (sec), leaf count = 62
\[\left \{y \left (x \right ) = \frac {\left (c_{3} \nu ^{2} x^{3}-6 c_{3} \nu \,x^{2}+15 c_{3} x +c_{1}\right ) {\mathrm e}^{\nu x}+\left (c_{4} \nu ^{2} x^{3}+6 c_{4} \nu \,x^{2}+15 c_{4} x +c_{2}\right ) {\mathrm e}^{-\nu x}}{x}\right \}\]