\[ -4 x^5-4 x^3 y(x)+\left (4 x^2-1\right ) y'(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.220787 (sec), leaf count = 48
\[\left \{\left \{y(x)\to c_1 e^{-\left (1-\sqrt {2}\right ) x^2}+c_2 e^{-\left (1+\sqrt {2}\right ) x^2}-x^2-2\right \}\right \}\] ✓ Maple : cpu = 0.075 (sec), leaf count = 36
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{x}^{2} \left ( \sqrt {2}-1 \right ) }}{\it \_C2}+{{\rm e}^{-{x}^{2} \left ( 1+\sqrt {2} \right ) }}{\it \_C1}-{x}^{2}-2 \right \} \]