\[ -(v-1) v y(x)+x^2 y''(x)+2 x^2 y'(x)=0 \] ✓ Mathematica : cpu = 0.0233481 (sec), leaf count = 62
\[\left \{\left \{y(x)\to c_1 e^{-x} \sqrt {x} J_{\frac {1}{2} (2 v-1)}(-i x)+c_2 e^{-x} \sqrt {x} Y_{\frac {1}{2} (2 v-1)}(-i x)\right \}\right \}\] ✓ Maple : cpu = 0.023 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-x}}\sqrt {x} \left ( {{\sl K}_{v-{\frac {1}{2}}}\left (x\right )}{\it \_C2}+{{\sl I}_{v-{\frac {1}{2}}}\left (x\right )}{\it \_C1} \right ) \right \} \]