\[ -(v-1) v y(x)+x^2 y''(x)+2 x^2 y'(x)=0 \] ✓ Mathematica : cpu = 0.0225562 (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 = 0.015 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-x}}\sqrt {x}{{\sl I}_{v-{\frac {1}{2}}}\left (x\right )}+{\it \_C2}\,{{\rm e}^{-x}}\sqrt {x}{{\sl K}_{v-{\frac {1}{2}}}\left (x\right )} \right \} \]